Respuesta :

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

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

[tex] \frac{3}{4} * \frac{3}{1} [/tex]

[tex] =\frac{9}{4} [/tex]

With 1/8 measuring cup

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

[tex] \frac{3}{4} * \frac{8}{1} [/tex]

=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.