Solve 5/6-0.25*2/3div5/12=

$$\frac { 5 } { 6 } - 0.25 \times \frac { 2 } { 3 } \div \frac { 5 } { 12 } =$$

Evaluate

$$\frac{13}{30}\approx 0.433333333$$

Solution Steps

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{5}{6}-\frac{\frac{1}{4}\times \frac{2}{3}}{\frac{5}{12}}$$

Multiply \frac{1}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{6}-\frac{\frac{1\times 2}{4\times 3}}{\frac{5}{12}}$$

Do the multiplications in the fraction \frac{1\times 2}{4\times 3}.

$$\frac{5}{6}-\frac{\frac{2}{12}}{\frac{5}{12}}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}-\frac{\frac{1}{6}}{\frac{5}{12}}$$

Divide \frac{1}{6} by \frac{5}{12} by multiplying \frac{1}{6} by the reciprocal of \frac{5}{12}.

$$\frac{5}{6}-\frac{1}{6}\times \frac{12}{5}$$

Multiply \frac{1}{6} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{6}-\frac{1\times 12}{6\times 5}$$

Do the multiplications in the fraction \frac{1\times 12}{6\times 5}.

$$\frac{5}{6}-\frac{12}{30}$$

Reduce the fraction \frac{12}{30} to lowest terms by extracting and canceling out 6.

$$\frac{5}{6}-\frac{2}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{5}{6} and \frac{2}{5} to fractions with denominator 30.

$$\frac{25}{30}-\frac{12}{30}$$

Since \frac{25}{30} and \frac{12}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-12}{30}$$

Subtract 12 from 25 to get 13.

$$\frac{13}{30}$$

Factor

$$\frac{13}{2 \cdot 3 \cdot 5} = 0.43333333333333335$$