Solve left(1/3-1/4right)div(25/100)

$$\left( \frac{ 1 }{ 3 } - \frac{ 1 }{ 4 } \right) \div ( \frac{ 25 }{ 100 } )$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{\frac{4}{12}-\frac{3}{12}}{\frac{25}{100}}$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4-3}{12}}{\frac{25}{100}}$$

Subtract 3 from 4 to get 1.

$$\frac{\frac{1}{12}}{\frac{25}{100}}$$

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

$$\frac{\frac{1}{12}}{\frac{1}{4}}$$

Divide \frac{1}{12} by \frac{1}{4} by multiplying \frac{1}{12} by the reciprocal of \frac{1}{4}.

$$\frac{1}{12}\times 4$$

Multiply \frac{1}{12} and 4 to get \frac{4}{12}.

$$\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$