Solve (3/25+12/5)div9/5

$$( \frac { 3 } { 25 } + \frac { 12 } { 5 } ) \div \frac { 9 } { 5 }$$

Evaluate

$$\frac{7}{5}=1.4$$

Solution Steps

Least common multiple of 25 and 5 is 25. Convert \frac{3}{25} and \frac{12}{5} to fractions with denominator 25.

$$\frac{\frac{3}{25}+\frac{60}{25}}{\frac{9}{5}}$$

Since \frac{3}{25} and \frac{60}{25} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+60}{25}}{\frac{9}{5}}$$

Add 3 and 60 to get 63.

$$\frac{\frac{63}{25}}{\frac{9}{5}}$$

Divide \frac{63}{25} by \frac{9}{5} by multiplying \frac{63}{25} by the reciprocal of \frac{9}{5}.

$$\frac{63}{25}\times \frac{5}{9}$$

Multiply \frac{63}{25} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{63\times 5}{25\times 9}$$

Do the multiplications in the fraction \frac{63\times 5}{25\times 9}.

$$\frac{315}{225}$$

Reduce the fraction \frac{315}{225} to lowest terms by extracting and canceling out 45.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$