Solve left(4/9-1/3right)6/7

$$\left( \frac{ 4 }{ 9 } - \frac{ 1 }{ 3 } \right) \frac{ 6 }{ 7 }$$

Evaluate

$$\frac{2}{21}\approx 0.095238095$$

Solution Steps

Least common multiple of 9 and 3 is 9. Convert \frac{4}{9} and \frac{1}{3} to fractions with denominator 9.

$$\left(\frac{4}{9}-\frac{3}{9}\right)\times \frac{6}{7}$$

Since \frac{4}{9} and \frac{3}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-3}{9}\times \frac{6}{7}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{9}\times \frac{6}{7}$$

Multiply \frac{1}{9} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 6}{9\times 7}$$

Do the multiplications in the fraction \frac{1\times 6}{9\times 7}.

$$\frac{6}{63}$$

Reduce the fraction \frac{6}{63} to lowest terms by extracting and canceling out 3.

$$\frac{2}{21}$$

Factor

$$\frac{2}{3 \cdot 7} = 0.09523809523809523$$