Question

Use division to find all the whole number ratios equivalent to 168 : 56

Answer 1

To find all the whole number ratios equivalent to 168 : 56, divide both sides of the ratio by the greatest common divisor. The equivalent ratio is 3 : 1.

Step-by-step explanation:

To find all the whole number ratios equivalent to 168 : 56, we need to divide both sides of the ratio by the greatest common divisor of 168 and 56, which is 56.

168 ÷ 56 = 3

56 ÷ 56 = 1

So the equivalent ratio is 3 : 1.

Answer 2

`168|2\\.\ 84|2\\.\ 42|2\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\56|2\\28|2\\14|2\\.\ 7|7\\.\ 1|`


`168:56=(2\cdot2\cdot2\cdot3\cdot7)/(2\cdot2\cdot2\cdot7)\\\\=(2\cdot2\cdot3\cdot7)/(2\cdot2\cdot7)=\boxed{(84)/(28)}\\\\=(2\cdot2\cdot2\cdot3)/(2\cdot2\cdot2)=\boxed{(24)/(8)}\\\\=(2\cdot3\cdot7)/(2\cdot7)=\boxed{(42)/(14)}\\\\=(2\cdot3)/(2)=\boxed{(6)/(2)}\\\\=\boxed{(3)/(1)}\\\\=(2\cdot2\cdot3)/(2\cdot2)=\boxed{(12)/(4)}\\\\=(3\cdot7)/(7)=\boxed{(21)/(7)}`