Solve 0.45div5/12=

$$0.45 \div \frac { 5 } { 12 } =$$

Evaluate

$$1.08$$

Solution Steps

Divide 0.45 by \frac{5}{12} by multiplying 0.45 by the reciprocal of \frac{5}{12}.

$$0.45\times \frac{12}{5}$$

Convert decimal number 0.45 to fraction \frac{45}{100}. Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.

$$\frac{9}{20}\times \frac{12}{5}$$

Multiply \frac{9}{20} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 12}{20\times 5}$$

Do the multiplications in the fraction \frac{9\times 12}{20\times 5}.

$$\frac{108}{100}$$

Reduce the fraction \frac{108}{100} to lowest terms by extracting and canceling out 4.

$$\frac{27}{25}$$

Factor

$$\frac{3 ^ {3}}{5 ^ {2}} = 1\frac{2}{25} = 1.08$$