Question

An average ant is 1/4 inch long. An average aphid is 3/32 inch long.how many times longer is an average ant that an average aphid. Please put in simplest form

Answer 1

Answer:

An average ant is $2\frac{2}{3}$ times longer than an average aphid

Step-by-step explanation:

Let

x------> an average ant long

y-----> an average aphid long

we have

$x=\frac{1}{4}\ in$

$y=\frac{3}{32}\ in$

we know that

$\frac{x}{y}=\frac{(1/4)}{(3/32)}=\frac{32}{12}=\frac{8}{3}$

convert to mixed number

$\frac{8}{3}=\frac{6}{3}+\frac{2}{3}=2+\frac{2}{3}=2\frac{2}{3}$

therefore

$\frac{x}{y}=2\frac{2}{3}$

isolate the variable x

$x=2\frac{2}{3}y$

Answer 2

This  is a proportion which can be obtained just dividing the sizes;

(1/4) / (3/32) = 8/3 ≈ 2.7 times larger