Question

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

Answer 1

we have

$\frac{1\text{ }\frac{1}{2}in}{5\text{ }\frac{1}{4}ft}$

We need to transform the mixed number to a fraction

$1\text{ }\frac{1}{2}=\frac{2}{2}+\frac{1}{2}=\frac{3}{2}in$

$5\frac{1}{4}=\frac{20}{4}+\frac{1}{4}=\frac{21}{4}ft$

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

$\frac{3}{2}in=\frac{1}{8}ft$

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

$\frac{\frac{1}{8}ft}{\frac{21}{4}ft}=\frac{1\cdot4}{21\cdot8}=\frac{1}{42}ft$