SUMA Y RESTA DE FRACCIONES
• Resuelve los siguientes problemas.
1.- Valentina, Camila y Hania cumplen años el mismo día. Al momento de partir el pastel a
1 / 3
Valentina le tocó 6 , a Camila 3 y a Hania partes del pastel.
6
¿Quién comió más pastel? Camila
¿Qué fracción de pastel comieron entre las tres?
¿Qué fracción de pastel sobró?
Answers
Answer:
Camila y Hania fueron las que comieron más pastelEntre las tres comieron [tex]\frac{5}{6}[/tex] de pastelSobró [tex]\frac{1}{6}[/tex] de pastelStep-by-step explanation:
La pregunta está mal formulada. Debería ser :
A Valentina le tocó 1/6 , a Camila 1/3 y a Hania 2/6 del pastel.
Para responder a la pregunta de quién comió más pastel podemos proceder de varias formas.
Una forma es expresar las fracciones de manera decimal :
Valentina : [tex]\frac{1}{6}=0.1666[/tex]
Camila : [tex]\frac{1}{3}=0.3333[/tex]
Hania : [tex]\frac{2}{6}=0.3333[/tex]
Así nos daríamos cuenta de que Camila y Hania fueron las que comieron más pastel (Vale aclarar que Camila y Hania comieron la misma cantidad).
Otra posible forma es igualando los denominadores de las fracciones y comparando sus numeradores.
Por ejemplo, [tex]\frac{1}{3}[/tex] se puede expresar como [tex]\frac{1}{3}=\frac{2}{6}[/tex] (multiplicamos por dos tanto al numerador como al denominador) ⇒ las nuevas fracciones correspondientes a lo que comió cada una son :
Valentina : [tex]\frac{1}{6}[/tex]
Camila : [tex]\frac{2}{6}[/tex]
Hania : [tex]\frac{2}{6}[/tex]
Dado que todas las fracciones tienen el mismo denominador (seis) comparamos ahora sus numeradores y nos damos cuenta de nuevo que Camila y Hania fueron las que comieron más pastel.
Con las tres fracciones con el mismo denominador (seis) procedemos a responder la segunda pregunta :
¿Qué fracción de pastel comieron entre las tres?
Para averiguarlo sumaremos las fracciones de pastel que comió cada una :
[tex]\frac{1}{6}+\frac{2}{6}+\frac{2}{6}=\frac{5}{6}[/tex]
Encontramos que entre Valentina, Camila y Hania comieron [tex]\frac{5}{6}[/tex] de pastel.
Finalmente, para averiguar que fracción de pastel sobró debemos restarle al total (uno) la fracción de pastel que comieron entre las tres :
[tex]1-\frac{5}{6}=\frac{1}{6}[/tex]
Esto se debe a que el ''uno'' representa el ciento por ciento del pastel (el total). Encontramos que sobró [tex]\frac{1}{6}[/tex] de pastel.
Camila fue quien más comió, ya que comió el doble que las demás. Entre las tres, comieron 2/3 del pastel, por lo que sobró 1/3 del mismo.
Dado que Valentina, Camila y Hania cumplen años el mismo día, y al momento de partir el pastel a Valentina le toco 1/6, a Camila 1/3 y a Hania 1/6 partes del pastel, para determinar quién comió más pastel, qué fracción de pastel comieron entre las tres y qué fracción de pastel sobró se deben realizar los siguientes cálculos:
¿Quién comió más pastel?1/6 = 0.1661/3 = 0.333Por lo tanto, Camila fue quien comió más pastel. ¿Qué fracción de pastel comieron entre las tres?1/6 + 1/6 + 1/3 = 2/6 + 1/3 = 2/3Por lo tanto, entre las tres comieron 2/3 del pastel.¿Qué fracción del pastel sobró?1 - 2/3 = 1/3Por lo tanto, sobró 1/3 del pastel.Aprende más en https://brainly.com/question/1301963
Related Questions
What is 1.13 with 13 repeating as a fraction
Answers
Answer:
x = 17/15 or 1 2/15
Step-by-step explanation:
I got it directly from Khan
Enter the answer in the space provided.
Mariah walks 6 miles per hour. Bobby walks 4, 400 yards in a half-hour.
Given that 1 mile = 1,760 yards, how much faster does Mariah walk than Bobby, in miles per hour?
Enter the answer in the space provided.
Shaun rides his bike at a speed of 19 miles per hour. How far, in miles, does Shaun travel in 25 minutes when rounded to the nearest
hundredth?
Answers
Answer:
Part 1: 1 mile.
Part 2: 1.32 mph.
Step-by-step explanation:
The correct speed of Mariah walks faster than Bobby, in miles per hour - 1 mile per hour.
Shaun travel in 25 minutes in the given case, when rounded to the nearest hundredth - 7.92 miles.
Part 1.
Given:
speed of Mariah = 6 miles per hour
speed of Bobby = 4, 400 yards per half hour
= 8800 yards per hour
1 mile = 1760 yards
Solution:
To find out the speed difference of both Mariah and Bobby, we need to convert speeds in the same units that is mile:
=> speed of bobby = [tex]\frac{8800}{1760}[/tex]
=> speed of bobby = 5 miles per hour
as it is given 1 mile = 1760 yards
=> Now, the speed difference between Mariah and Bobby is
= 6 - 5
= 1 mile per hour.
Thus, Mariah walks faster than Bobby, in miles per hour - 1 mile per hour.
Part 2:
Given:
Speed of Shaun = 19 miles per hour
distance traveled in 25 minutes = ?
Solution:
To find out the traveled distance by Shaun in 25 minutes we need to find the speed per minute:
1 hour = 60 minutes
So as given, 19 miles per 60 minutes
then speed per minute = [tex]\frac{19}{60}[/tex]
= 0.316
then traveled in 25 minutes-
=> [tex]0.316*25[/tex]
=> = 7.92
Thus, Shaun travel in 25 minutes in the given case, when rounded to the nearest hundredth - 7.92 miles.
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write an equation for the difference of p and 4
Answers
Answer:
p-4
Step-by-step explanation:
Difference means subtraction
p-4
Answer: p - 4
Explanation: The word difference tells us that we need to subtract.
So the difference between p and 4 can be represented as p - 4.
Determine the number of degrees for the angle in section B of the pie chart . Round to the nearest whole degree Please assist me
Answers
Answer:
115°
Step-by-step explanation:
Measure of the degree of the angle represented by section B on the chart = percentage in the pie chart ÷ 100 × 360. A full circle makes 360°.
Section B represents 32% of the pie chart, therefore, number of degrees for section B = [tex] \frac{32}{100}*360 = \frac{32*360}{100} [/tex]
[tex] = 115.2 [/tex]
Section B = 115° (to the nearest whole number)
What’s the value of x in both a & b?
Answers
Answer:
a) 7
b) 2 2/7
Step-by-step explanation:
A) 2/7=2/x
x=7
B) 2/7=x/8
cross multiply
16=7x
x=16/7, or 2 2/7, or 2.2857
The article ``Oxygen Consumption During Fire Suppression: Error of Heart Rate Estimation" reported the following data on oxygen consumption (ml/kg/min) for a sample of ten firefighters performing a fire suppression simulation:
29.5 49.3 30.6 28.2 28.0 26.3 33.9 29.4 23.5 31.6
Compute the following:
a. The sample range.
b. The sample variance s2 from the definition (i.e. first computing deviations, then squaring them, etc.).
c. The sample standard deviation.
d. s2 using the shortcut method.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
29.5 49.3 30.6 28.2 28.0 26.3 33.9 29.4 23.5 31.6
Sort in ascending order of magnitude :
23.5,26.3,28.0,28.2,29.4,29.5,30.6,31.6,33.9,49.3
A) Range of the sample data:
(maximum - minimum)
49.3 - 23.5 = 25.8
B) sample variance :
S² = ∑ (x − m)²/ n − 1.
m = mean ; n = number of observations
m = (23.5 + 26.3 + 28.0 + 28.2 + 29.4 + 29.5 + 30.6 + 31.6 + 33.9 + 49.3) = 310.3 / 10 = 31.03
∑ (x − m)² = 443.801
n - 1 = 10 - 1 = 9
S² = ∑ (x − m)²/ n − 1
S² = 443.801 / 9
S² = 49.311222 = 49.31
C) The standard deviation (s):
S = √[∑ (x − m)²/ n − 1]
√variance = √49.311222
S = 7.0221949
S = 7.022
D) using statistical calculator,
S² = 49.31
Answer:
C
Step-by-step explanation:Hope this helps!:>
Give an answer to the picture above or below
Answers
Answer:
Graph
Step-by-step explanation:
find the inverse of the following function g(x) = -2x+3
Answers
Answer:
[tex]g(x)^-1 = \frac{-x}{2} +\frac{3}{2}[/tex]
Step-by-step explanation:
1) swap x and y
x = -2y + 3
2) solve for y
[tex]x=-2y+3[/tex]
[tex]2y=-x+3[/tex]
[tex]y=\frac{-x}{2} + \frac{3}{2}[/tex]
Answer:
[tex]\frac{y+3}{2}[/tex]
Step-by-step explanation:
I feel that I can divide the least count into 5 segments. How would I express my uncertainty of this ruler with one significant digit?
Answers
Answer:
depression
Step-by-step explanation:
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x4 + 4x3 + 3x2 + 18
Answers
Step-by-step explanation:
USING RATIONAL ROOT THEOREM:
a = ±2
Factors of a are ±1 ,±2
For the constant term
c= ±18
The factors of c are ±1,±2,±3,±6,±9 and ±18
THE POSSIBLE ZEROES ARE GIVEN BY
c/a=(±1,±2,±3,±6,±9,±18)/(±1 ,±2)
Therefore, the possible zeroes are
±1,±2,±3,±6,±9,±18,±1/2,±3/2,±9/2
you get out of school and walk orth for 20 minuties yo travel 1.6km what si the average velocity
Answers
Answer: The answer would be 1.6 :)
Answer:
The average velocity is:
4.8 km/hour
Step-by-step explanation:
1 hour = 60 minutes
20 minutes = 20/60 = 0.3333 hour
Proportions
1.6km ⇔ 0.3333 hour
W km ⇔ 1 hour
W = 1.6*1/0.3333
W = 4.8 km/hour
whats x/7 = 4 in one step equations
Answers
Answer: x = 28
Step-by-step explanation: You multiply each place by 7 to get the x by itself and you get 28 as an answer
Answer:
28
Step-by-step explanation:
x/7=4
x=4*7
x=28
Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -5.
Answers
Replace x, y, and z in the plane's equation with their appropriate parametric equations, then solve for t, then evaluate x, y, and z at this t to find the point P.
[tex]x+y-z=-5[/tex]
[tex](1+t)+2t-(-3t)=-5[/tex]
[tex]6t+1=-5[/tex]
[tex]6t=-6[/tex]
[tex]t=-1[/tex]
[tex]\implies x=0,y=-2,z=-3[/tex]
So the point P is (0, -2, -3).
Here, we are required to find the point, P where the lines:
x = 1 + t x = 1 + ty = 2t x = 1 + ty = 2tz = -3tintersects the plane x + y - z = -5.
The point, P where the lines intersects the plane is given by;
he point, P where the lines intersects the plane is given by;P (0, -2, 3)
Therefore, to find this point, we have to substitute for x, y and z in the equation of the plane.
Therefore, we have;
1 + t + 2t -(-3t) = -5.therefore 6t = - 6and ultimately t = -1To get the coordinates of the point P where the lines intersect the plane; we can then find x, y and z by substituting t into each of their equations.
Therefore;
x = 1 + (-1) = 0x = 1 + (-1) = 0y = 2(-1) = -2x = 1 + (-1) = 0y = 2(-1) = -2z = -3(-1) = 3Therefore, the point, P where the lines intersects the plane is given by;
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Which angles are congruent to each other?
Answers
Answer:
<8 and <6 are congruent to each other.
Step-by-step explanation:
A protractor was used to determine the answer. They both measured to 140 degrees.
Which number is the same distance from 0 on a number line as 3/2 answers -3 -3/2 -2/3 2/3 3
Answers
Answer:
-3/2
Step-by-step explanation:
You are going a distance of 3/2 to the right, to get 3/2. You are going the same distance of 3/2 to the left, to get -3/2. Same distance traveled on a number line, just in different directions making it positive/negative.
What is the first step when adding the fractions 2/5+7/10
Answers
Answer:
firs find the least common multiple (LCM) of the denominators
Step-by-step explanation:
2/5+7/10
Multiples of 5 = {5,10,15,20,25,30,35...}
Multiples of 10 = {10,20,30,40,50...}
Common multiples = {10,20,30,...}
Least Common Multiples = {10}
2/5+7/10
= 2(2) + 7(1)
= 11/LCM
But the LCM = 10
11/10
Does anyone know how to answer this? The Probability that you draw a mechanical pencil from a group of 25 mechanical and wooden pencils is 3/5. How many are mechanical pencils?
Answers
Answer:
There are 15 mechanical pencils
Step-by-step explanation:
Recall that the probability of drawn a mechanical pencil from a larger group is given by the quotient of the number of mechanical pencils divided the total number of pencils in the sample.
so that means:
[tex]P=\frac{x}{25} \\[/tex]
being x the number of mechanical pencils and 25 the total of all pencils in the sample. Since they give as P as 3/5, we can solve for the number of mechanical pencils (x) using the equation:
[tex]P=\frac{x}{25} \\\\\frac{3}{5} =\frac{x}{25}\\x=\frac{3\,*\,25}{5} \\x=15[/tex]
So there are 15 mechanical pencils in the sample.
Which is a pair of vertical angles? ∠VRU and ∠SRT ∠TRS and ∠VRW ∠TRV and ∠WRU ∠WRV and ∠SRW
Answers
Answer:
b
Step-by-step explanation:
jus did it
Can somebody help me pleaseeeee
Multiply -5/8•(-3)
Answers
Answer:3 [ 1 5 -5 6 0 0 ]
3 x 1 = 3
3 x 5 = 15
3 x -5 = -15
3 x 6 = 18
3 x 0 = 0
3 x 0 = 0
[ 3 15 -15 18 0 0 ]
[ 3 15 ]
[ -15 18 ]
[ 0 0]
The answer is B and I hope I explained this well for you
Step-by-step explanation:
Answer:
1.875
Step-by-step explanation:
Given 2x² = -8, x is
Answers
Answer:
its 2i or -2i
Step-by-step explanation:
just did it and also the next one is -4 and 10
Answer:
your answer will be "2i or -2i"
for the next it is -4 and 10
Step-by-step explanation:
Setup an equation then find x
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Answer: 2
Step-by-step explanation:
Add 15,7,.5 PLEASE WILL MARK U BRAINLEST PLEASE HELP
Answers
Answer:
27
Step-by-step explanation:
15+7=22+7=22
Answer: 27
Step-by-step explanation:
15+7=22
22+5=27
I hope this helped!!
60 is 150% of what in math
Answers
Answer:
40% is the answer to your question.
Question 3
4
If JL = 9x - 5, LR = 7x - 2, and JR = 35, find JL. Round your answer to the nearest tenth.
Answers
Answer:
JL = 166 units
Step-by-step explanation:
Given that,
JL = 9x - 5, LR = 7x - 2, and JR = 35
Let us assume that, R is the midpoint of J and L. So,
JL = JR + RL
Putting all the values,
9x - 5 =35 + 7x - 2
Taking like terms together as follows :
9x-7x = 33 + 5
2x = 38
x = 19
Put the value of x inm, JL = 9x-5
JL = 9(19)-5
JL = 166
The value of JL is 166 units.
−6x+2x−5+2: simplified
Answers
Answer:
-4x-3
Step-by-step explanation:
all you do is combine like terms: -6x+2x=-4x and -5+2=-3
so the answer would be -4x-3
PLZ HELP I NEED TO SUMMIT THIS
Answers
Help i dont understand this please help :(
Answers
Answer:
-16
Step-by-step explanation:
-5(4)+2
-18+2
-16
A television with a 6:4 screen shows an image with a ratio of 6:5 which creates a letter boxed image. What percent of the screen’s area is occupied by the image? 1.25% 80% 20% 400%
Answers
Answer:
i hope this is the right answer 1.25%
Step-by-step explanation:
6:4 and 6:5 is one away from each other so it must me 1.25%
Find the value of Y
a) 10
b)28
c)20
d)152
e)128
Answers
Answer:
I THNK MAY BE 28 by putting value of x and finding value of y.
Step-by-step explanation:
4x-12=2x+8
or,4X-2x=12+8
or,2x=20
or,x=20/2
therefore, x=10
then do, 4x-12+7y+12=180 the answer which comes is your required ans . it may be 28
How is mulhplying intergers
Similar to multiplying whole
numbers?
Answers
Answer:
Multiplying integers is similar to multiplying whole numbers because integers are whole numbers. An integer is a whole number that is not a fraction.
Hope This Helps :)