Solve 1.5^2div(10div11)

$${ 1.5 }^{ 2 } \div (10 \div 11)$$

Evaluate

$$2.475$$

Solution Steps

Calculate 1.5 to the power of 2 and get 2.25.

$$\frac{2.25}{\frac{10}{11}}$$

Divide 2.25 by \frac{10}{11} by multiplying 2.25 by the reciprocal of \frac{10}{11}.

$$2.25\times \frac{11}{10}$$

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{9}{4}\times \frac{11}{10}$$

Multiply \frac{9}{4} times \frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 11}{4\times 10}$$

Do the multiplications in the fraction \frac{9\times 11}{4\times 10}.

$$\frac{99}{40}$$

Factor

$$\frac{11 \cdot 3 ^ {2}}{5 \cdot 2 ^ {3}} = 2\frac{19}{40} = 2.475$$