Question

Solve in simplest form 1 1/2 inches to 5 1/4 feet

Answer 1

we have

`\frac{1\text{ }(1)/(2)in}{5\text{ }(1)/(4)ft}`

We need to transform the mixed number to a fraction

`1\text{ }(1)/(2)=(2)/(2)+(1)/(2)=(3)/(2)in`

`5(1)/(4)=(20)/(4)+(1)/(4)=(21)/(4)ft`

In order to convert the inches to feet we divide the inches between 12

`(3)/(2)in=(1)/(8)ft`

then we can do the operation because we have the same unit in the denominator and in the numerator

`((1)/(8)ft)/((21)/(4)ft)=(1\cdot4)/(21\cdot8)=(1)/(42)ft`