Solve 24/25div2/15+2/10

$$\frac { 24 } { 25 } \div \frac { 2 } { 15 } + \frac { 2 } { 10 }$$

Evaluate

$$\frac{37}{5}=7.4$$

Solution Steps

Divide \frac{24}{25} by \frac{2}{15} by multiplying \frac{24}{25} by the reciprocal of \frac{2}{15}.

$$\frac{24}{25}\times \frac{15}{2}+\frac{2}{10}$$

Multiply \frac{24}{25} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 15}{25\times 2}+\frac{2}{10}$$

Do the multiplications in the fraction \frac{24\times 15}{25\times 2}.

$$\frac{360}{50}+\frac{2}{10}$$

Reduce the fraction \frac{360}{50} to lowest terms by extracting and canceling out 10.

$$\frac{36}{5}+\frac{2}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{36}{5}+\frac{1}{5}$$

Since \frac{36}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{36+1}{5}$$

Add 36 and 1 to get 37.

$$\frac{37}{5}$$

Factor

$$\frac{37}{5} = 7\frac{2}{5} = 7.4$$