Solve 1-(3/7+1/3)

$$1-( \frac{ 3 }{ 7 } + \frac{ 1 }{ 3 } )$$

Evaluate

$$\frac{5}{21}\approx 0.238095238$$

Solution Steps

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

$$1-\left(\frac{9}{21}+\frac{7}{21}\right)$$

Since \frac{9}{21} and \frac{7}{21} have the same denominator, add them by adding their numerators.

$$1-\frac{9+7}{21}$$

Add 9 and 7 to get 16.

$$1-\frac{16}{21}$$

Convert 1 to fraction \frac{21}{21}.

$$\frac{21}{21}-\frac{16}{21}$$

Since \frac{21}{21} and \frac{16}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-16}{21}$$

Subtract 16 from 21 to get 5.

$$\frac{5}{21}$$

Factor

$$\frac{5}{3 \cdot 7} = 0.23809523809523808$$