Identify the correct weight to the nearest 1/8 pound, then reduce the fraction if possible.

The correct weight to the nearest 1/8 pound from the considered image is 3.55 pounds. In reduced fraction form, it is 71/20 pounds approx.

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

[tex]0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}[/tex]

(10 raised to power k = 1 followed by k zeroes)

Let we have to add two fractions as:

[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]

Then we will find Lowest Common Multiple (LCM) of  [tex]b_1[/tex] and [tex]b_2[/tex]. That will help to make the denominators same.

Once the denominators become same, the numerators can add up directly, giving us the final result of addition.

For this case, we can see from the image that:

Weight shown = 3 pounds + half more pound + half of 1/10 pound more approx. (as the weight hand is approx between 5 and 6 minor ticks after the big 3 pound mark). In each minor mark, one pound is divided in 10 parts, so each minor tick adds up 1/10 of a pound. Half of 1/10 shows that after 5, the hand is not exactly on 6 but sort of in between them, so approximately half.

Thus, weight shown ≈ 3 + 0.5 (half is written 0.5 too) + 1/10 of 0.5 pounds

= 3 + 0.5 + 0.5/10 = 3.5 + 0.05 = 3.55 pounds

Thus, the weight is approx 3.55 pounds.

Converting it to fraction, we get:

[tex]3.55 = \dfrac{355}{100} = \dfrac{5 \times 71}{5 \times 20} = \dfrac{71}{20}[/tex] pounds.

Thus, the correct weight to the nearest 1/8 pound from the considered image is 3.55 pounds. In reduced fraction form, it is 71/20 pounds approx.

Learn more about fraction addition here:

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Answer:

G'day. Here is your answer!

Step-by-step explanation:

3 6/16m= 3/38.

2 to 3: lb subintervals:

so each scale: 1/16 lb

Now we observe the pointer. 6 scales after 3 lb = 3 6/16 = 3 3/8 lb.

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