Solve 1.5div(10div11)

$$1.5 \div (10 \div 11)$$

Evaluate

$$1.65$$

Solution Steps

Divide 1.5 by \frac{10}{11} by multiplying 1.5 by the reciprocal of \frac{10}{11}.

$$1.5\times \frac{11}{10}$$

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.

$$\frac{3}{2}\times \frac{11}{10}$$

Multiply \frac{3}{2} times \frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 11}{2\times 10}$$

Do the multiplications in the fraction \frac{3\times 11}{2\times 10}.

$$\frac{33}{20}$$

Factor

$$\frac{3 \cdot 11}{5 \cdot 2 ^ {2}} = 1\frac{13}{20} = 1.65$$