Question

Fia needs 3/4 of a cup of brown sugar. She only has a 1/3 cup measuring cup and a 1/8 cup measuring cup. Which should she use and why?

Answer 1

Fia needs 3/4 cups of brown sugar.

Now she has two types of measuring cups 1/3 measuring cup and 1/8 measuring cup.

Now let us divide 3/4 by each and see which one gives us more accurate answer.

With 1/3 measuring cup

Dividing 3/4 by 1/3, multiplying reciprocal of 1/3 that is 3/1 with 3/4

$\frac{3}{4} * \frac{3}{1}$

$=\frac{9}{4}$

With 1/8 measuring cup

Dividing 3/4 by 1/8, multiplying reciprocal of 1/8 that is 8/1 with 3/4

$\frac{3}{4} * \frac{8}{1}$

=6

Now here we can see that its easier to measure 6 full cups than fraction 9/4 cups.

So we can say that its better to use 1/8 measuring cup.

Answer 2

1/8 because if u simplify your answer..to have 4 as the denominator it would work easier