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