Solve 1-2/7-1/3/58

$$\frac{ 1- \frac{ 2 }{ 7 } - \frac{ 1 }{ 3 } }{ 58 }$$

Evaluate

$$\frac{4}{609}\approx 0.006568144$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

$$\frac{\frac{7}{7}-\frac{2}{7}-\frac{1}{3}}{58}$$

Since \frac{7}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{7-2}{7}-\frac{1}{3}}{58}$$

Subtract 2 from 7 to get 5.

$$\frac{\frac{5}{7}-\frac{1}{3}}{58}$$

Least common multiple of 7 and 3 is 21. Convert \frac{5}{7} and \frac{1}{3} to fractions with denominator 21.

$$\frac{\frac{15}{21}-\frac{7}{21}}{58}$$

Since \frac{15}{21} and \frac{7}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15-7}{21}}{58}$$

Subtract 7 from 15 to get 8.

$$\frac{\frac{8}{21}}{58}$$

Express \frac{\frac{8}{21}}{58} as a single fraction.

$$\frac{8}{21\times 58}$$

Multiply 21 and 58 to get 1218.

$$\frac{8}{1218}$$

Reduce the fraction \frac{8}{1218} to lowest terms by extracting and canceling out 2.

$$\frac{4}{609}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 7 \cdot 29} = 0.006568144499178982$$