Question

Match each proportion on the left to the True or False on the right. Some items on the right may be used more than once. 5/15 =3/9 , 20/44=15/32, 12/3=64/16, 24/16=30/20.
5/15=3/9 True
20/44=15/32 False
12/3=64/16 True
24/16=30/20 True

Answer 1

Answer:

$\frac{5}{15}=\frac{3}{9}$ is TRUE

$\frac{20}{44}=\frac{15}{33}$ is FALSE

$\frac{12}{3}=\frac{64}{16}$ is TRUE

$\frac{24}{16}=\frac{30}{20}$ is TRUE

Step-by-step explanation:

We will verify each options

option-A:

$\frac{5}{15}$

Firstly, we will simplify it

$\frac{5}{15}=\frac{5\times 1}{5\times 3}$

$\frac{5}{15}=\frac{1}{3}$

now, we can multiply top and bottom by 3

$\frac{5}{15}=\frac{1\times 3}{3\times 3}$

$\frac{5}{15}=\frac{3}{9}$

so, this is TRUE

option-B:

$\frac{20}{44}$

Firstly, we will simplify it

$\frac{20}{44}=\frac{4\times 5}{4\times 11}$

$\frac{20}{44}=\frac{5}{11}$

we can multiply top and bottom by 3

$\frac{20}{44}=\frac{3\times 5}{3\times 11}$

$\frac{20}{44}=\frac{15}{33}$

so, this is FALSE

option-C:

$\frac{12}{3}$

Firstly, we will simplify it

$\frac{12}{3}=\frac{3\times 4}{3\times 1}$

$\frac{12}{3}=\frac{4}{1}$

we can multiply top and bottom by 16

$\frac{12}{3}=\frac{16\times 4}{16\times 1}$

$\frac{12}{3}=\frac{64}{16}$

So, this is TRUE

option-D:

$\frac{24}{16}$

Firstly, we can simplify it

$\frac{24}{16}=\frac{4\times 6}{4\times 4}$

$\frac{24}{16}=\frac{6}{4}$

now, we can multiply top and bottom by 5

$\frac{24}{16}=\frac{5\times 6}{5\times 4}$

$\frac{24}{16}=\frac{30}{20}$

So, this is TRUE