Question

Write the ratio 4/7 over 1/8 in simplest form. How is the simplest form of the ratio 4/7 over 1/8 related to the simplest form of the ratio 1/8 over 4/7

Answer 1

Explanation:

Ratio = 4/7 : 1/8

`=((4)/(7))/((1)/(8))\\\\=(4)/(7)*(8)/(1)\\\\=(32)/(7)`

= 32 : 7

`((1)/(8))/((4)/(7))=(1)/(8)*(7)/(4)\\\\=(7)/(32)`

= 7 : 32

Ratio 4/7 over 1/8 is the multiplicative inverse of the ratio 1/8 over 4/7