Solve 2.7div33/5div1.5

$$2.7 \div 3 \frac { 3 } { 5 } \div 1.5$$

Evaluate

$$0.5$$

Solution Steps

Express \frac{\frac{2.7}{\frac{3\times 5+3}{5}}}{1.5} as a single fraction.

$$\frac{2.7}{\frac{3\times 5+3}{5}\times 1.5}$$

Multiply 3 and 5 to get 15.

$$\frac{2.7}{\frac{15+3}{5}\times 1.5}$$

Add 15 and 3 to get 18.

$$\frac{2.7}{\frac{18}{5}\times 1.5}$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{2.7}{\frac{18}{5}\times \frac{3}{2}}$$

Multiply \frac{18}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2.7}{\frac{18\times 3}{5\times 2}}$$

Do the multiplications in the fraction \frac{18\times 3}{5\times 2}.

$$\frac{2.7}{\frac{54}{10}}$$

Reduce the fraction \frac{54}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2.7}{\frac{27}{5}}$$

Divide 2.7 by \frac{27}{5} by multiplying 2.7 by the reciprocal of \frac{27}{5}.

$$2.7\times \frac{5}{27}$$

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

$$\frac{27}{10}\times \frac{5}{27}$$

Multiply \frac{27}{10} times \frac{5}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 5}{10\times 27}$$

Cancel out 27 in both numerator and denominator.

$$\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$