Solve 5/12*1/13-1/4div13

$$\frac { 5 } { 12 } \times \frac { 1 } { 13 } - \frac { 1 } { 4 } \div 13$$

Evaluate

$$\frac{1}{78}\approx 0.012820513$$

Solution Steps

Multiply \frac{5}{12} times \frac{1}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{12\times 13}-\frac{\frac{1}{4}}{13}$$

Do the multiplications in the fraction \frac{5\times 1}{12\times 13}.

$$\frac{5}{156}-\frac{\frac{1}{4}}{13}$$

Express \frac{\frac{1}{4}}{13} as a single fraction.

$$\frac{5}{156}-\frac{1}{4\times 13}$$

Multiply 4 and 13 to get 52.

$$\frac{5}{156}-\frac{1}{52}$$

Least common multiple of 156 and 52 is 156. Convert \frac{5}{156} and \frac{1}{52} to fractions with denominator 156.

$$\frac{5}{156}-\frac{3}{156}$$

Since \frac{5}{156} and \frac{3}{156} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{156}$$

Subtract 3 from 5 to get 2.

$$\frac{2}{156}$$

Reduce the fraction \frac{2}{156} to lowest terms by extracting and canceling out 2.

$$\frac{1}{78}$$

Factor

$$\frac{1}{2 \cdot 3 \cdot 13} = 0.01282051282051282$$