Solve 0,9/frac{5{6}-1/12}

$$\frac { 0,9 } { \frac { 5 } { 6 } - \frac { 1 } { 12 } }$$

Evaluate

$$1,2$$

Solution Steps

Least common multiple of 6 and 12 is 12. Convert \frac{5}{6} and \frac{1}{12} to fractions with denominator 12.

$$\frac{0,9}{\frac{10}{12}-\frac{1}{12}}$$

Since \frac{10}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{0,9}{\frac{10-1}{12}}$$

Subtract 1 from 10 to get 9.

$$\frac{0,9}{\frac{9}{12}}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{0,9}{\frac{3}{4}}$$

Divide 0,9 by \frac{3}{4} by multiplying 0,9 by the reciprocal of \frac{3}{4}.

$$0,9\times \frac{4}{3}$$

Convert decimal number 0,9 to fraction \frac{9}{10}.

$$\frac{9}{10}\times \frac{4}{3}$$

Multiply \frac{9}{10} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 4}{10\times 3}$$

Do the multiplications in the fraction \frac{9\times 4}{10\times 3}.

$$\frac{36}{30}$$

Reduce the fraction \frac{36}{30} to lowest terms by extracting and canceling out 6.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$