Question

I need someone to match these please​

Answer 1

Details below

Explanation:

Equivalent Ratios

Two ratios are equivalent if they have the same value. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.

We are given 8 ratios. We'll simplify them to match the blue ratios shown in the image.

`\displaystyle (30)/(54)=(30/6)/(54/6)=(5)/(9)=5:9`

`\displaystyle (27)/(45)=(27/9)/(45/9)=(3)/(5)=3:5`

`\displaystyle (64)/(16)=(64/16)/(16/16)=(4)/(1)=4:1`

`\displaystyle (33)/(55)=(33/11)/(55/11)=(3)/(5)=3:5`

`\displaystyle (56)/(64)=(56/8)/(64/8)=(7)/(8)=7:8`

`\displaystyle (28)/(32)=(28/4)/(32/4)=(7)/(8)=7:8`

`\displaystyle (52)/(13)=(52/13)/(13/13)=(4)/(1)=4:1`

`\displaystyle (45)/(81)=(45/9)/(81/9)=(5)/(9)=5:9`

The ratio 3:5 must be dragged with the ratios

`\displaystyle (27)/(45), (33)/(55)`

The ratio 5:9 must be dragged with the ratios

`\displaystyle (30)/(54), (45)/(81)`

The ratio 7:8 must be dragged with the ratios

`\displaystyle (56)/(64), (28)/(32)`

The ratio 4:1 must be dragged with the ratios

`\displaystyle (64)/(16), (52)/(13)`