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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

Verified Answer :

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

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

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

\(x=2\frac{2}{3}y\)