Solve 15/9*2.7div3/5

$$1 \frac { 5 } { 9 } \times 2.7 \div \frac { 3 } { 5 }$$

Evaluate

$$7$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{\frac{9+5}{9}\times 2.7}{\frac{3}{5}}$$

Add 9 and 5 to get 14.

$$\frac{\frac{14}{9}\times 2.7}{\frac{3}{5}}$$

Convert decimal number 2.7 to fraction \frac{27}{10}.

$$\frac{\frac{14}{9}\times \frac{27}{10}}{\frac{3}{5}}$$

Multiply \frac{14}{9} times \frac{27}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{14\times 27}{9\times 10}}{\frac{3}{5}}$$

Do the multiplications in the fraction \frac{14\times 27}{9\times 10}.

$$\frac{\frac{378}{90}}{\frac{3}{5}}$$

Reduce the fraction \frac{378}{90} to lowest terms by extracting and canceling out 18.

$$\frac{\frac{21}{5}}{\frac{3}{5}}$$

Divide \frac{21}{5} by \frac{3}{5} by multiplying \frac{21}{5} by the reciprocal of \frac{3}{5}.

$$\frac{21}{5}\times \frac{5}{3}$$

Multiply \frac{21}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 5}{5\times 3}$$

Cancel out 5 in both numerator and denominator.

$$\frac{21}{3}$$

Divide 21 by 3 to get 7.

$$7$$

Factor

$$7$$