Solve 0.8div9/32

$$0.8 \div \frac{ 9 }{ 32 }$$

Evaluate

$$\frac{128}{45}\approx 2.844444444$$

Solution Steps

Divide 0.8 by \frac{9}{32} by multiplying 0.8 by the reciprocal of \frac{9}{32}.

$$0.8\times \frac{32}{9}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}\times \frac{32}{9}$$

Multiply \frac{4}{5} times \frac{32}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 32}{5\times 9}$$

Do the multiplications in the fraction \frac{4\times 32}{5\times 9}.

$$\frac{128}{45}$$

Factor

$$\frac{2 ^ {7}}{5 \cdot 3 ^ {2}} = 2\frac{38}{45} = 2.8444444444444446$$