Question

1. which ratios are proportional? select all that apply.

$\frac{2}{5}$ and $\frac{6}{9}$
$\frac{8}{12}$ and $\frac{20}{40}$
$\frac{4}{6}$ and $\frac{16}{24}$
$\frac{18}{30}$ and $\frac{12}{20}$

Explanation:

Step1: Check $\boldsymbol{\frac{2}{5}}$ and $\boldsymbol{\frac{6}{9}}$

Simplify $\frac{6}{9}$ to $\frac{2}{3}$. Compare with $\frac{2}{5}$. Since $\frac{2}{5}
eq\frac{2}{3}$, not proportional.

Step2: Check $\boldsymbol{\frac{8}{12}}$ and $\boldsymbol{\frac{20}{40}}$

Simplify $\frac{8}{12}=\frac{2}{3}$, $\frac{20}{40}=\frac{1}{2}$. $\frac{2}{3}
eq\frac{1}{2}$, not proportional.

Step3: Check $\boldsymbol{\frac{4}{6}}$ and $\boldsymbol{\frac{16}{24}}$

Simplify $\frac{4}{6}=\frac{2}{3}$, $\frac{16}{24}=\frac{2}{3}$. Equal, so proportional.

Step4: Check $\boldsymbol{\frac{18}{30}}$ and $\boldsymbol{\frac{12}{20}}$

Simplify $\frac{18}{30}=\frac{3}{5}$, $\frac{12}{20}=\frac{3}{5}$. Equal, so proportional.

Answer:

$\frac{4}{6}$ and $\frac{16}{24}$, $\frac{18}{30}$ and $\frac{12}{20}$ (the boxes corresponding to these pairs should be selected)