Question

Convert the ratio to equivalent ratios where the smallest is 1:

1/6 : 1/3 : 1/9

7 and 2/6 : 9 : 9 and 3/8

Answer 1

1/6:1/3:1/9.

The smallest fraction is 1/9. To make this 1 we multiply by 9, so we need to do the same to the other fractions:

9/6:9/3:1, that is: 3/2:3:1 or 1.5:3:1.

7⅓:9:9⅜.

9⅜ can be expressed as 75/8.

Note that 2/6=⅓. 7⅓ is the smallest number. Divide all the ratios by this number which can be expressed as 22/3:

1:9/(22/3):(75/8)/(22/3).

To divide by a fraction we simply interchange numerator and denominator and multiply:

1:9×3/22:(75/8)×3/22=1:27/22:225/176.

The decimal approximation is 1:1.23:1.28.