Solve 40/143-4/156

$$\frac { 40 } { 143 } - \frac { 4 } { 156 }$$

Evaluate

$$\frac{109}{429}\approx 0.254079254$$

Solution Steps

Reduce the fraction \frac{4}{156} to lowest terms by extracting and canceling out 4.

$$\frac{40}{143}-\frac{1}{39}$$

Least common multiple of 143 and 39 is 429. Convert \frac{40}{143} and \frac{1}{39} to fractions with denominator 429.

$$\frac{120}{429}-\frac{11}{429}$$

Since \frac{120}{429} and \frac{11}{429} have the same denominator, subtract them by subtracting their numerators.

$$\frac{120-11}{429}$$

Subtract 11 from 120 to get 109.

$$\frac{109}{429}$$

Factor

$$\frac{109}{3 \cdot 11 \cdot 13} = 0.2540792540792541$$