Solve 4/5-2/42

$$\frac{ 4 }{ 5 } - \frac{ 2 }{ 42 }$$

Evaluate

$$\frac{79}{105}\approx 0.752380952$$

Solution Steps

Reduce the fraction \frac{2}{42} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}-\frac{1}{21}$$

Least common multiple of 5 and 21 is 105. Convert \frac{4}{5} and \frac{1}{21} to fractions with denominator 105.

$$\frac{84}{105}-\frac{5}{105}$$

Since \frac{84}{105} and \frac{5}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{84-5}{105}$$

Subtract 5 from 84 to get 79.

$$\frac{79}{105}$$

Factor

$$\frac{79}{3 \cdot 5 \cdot 7} = 0.7523809523809524$$