Question

Write the given ratio $2\frac{2}{3}$:$1\frac{1}{4}$ as a fraction and write it in the simplest form:

Answer 1

First we convert the mix fraction into improper fraction as $2\frac{2}{3}=\frac{8}{3}$ (3$\times$2$+$2=8) and $1\frac{1}{4}=\frac{5}{4}$(4$\times$1$+$1=5)

Now we have $\frac{8}{3}$:$\frac{5}{4}$ =$\frac{8}{3}÷\frac{5}{4}$=$\frac{8}{3}\times \frac{4}{5}$=$\frac{32}{15}$ ( division of fractions )

It is already in simplest form because there is no common factor of 32 and 15.