Solve 6/10:(2/3-4/7)=

$$\frac { 6 } { 10 } : ( \frac { 2 } { 3 } - \frac { 4 } { 7 } ) =$$

Evaluate

$$\frac{63}{10}=6.3$$

Solution Steps

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{5}}{\frac{2}{3}-\frac{4}{7}}$$

Least common multiple of 3 and 7 is 21. Convert \frac{2}{3} and \frac{4}{7} to fractions with denominator 21.

$$\frac{\frac{3}{5}}{\frac{14}{21}-\frac{12}{21}}$$

Since \frac{14}{21} and \frac{12}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3}{5}}{\frac{14-12}{21}}$$

Subtract 12 from 14 to get 2.

$$\frac{\frac{3}{5}}{\frac{2}{21}}$$

Divide \frac{3}{5} by \frac{2}{21} by multiplying \frac{3}{5} by the reciprocal of \frac{2}{21}.

$$\frac{3}{5}\times \frac{21}{2}$$

Multiply \frac{3}{5} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 21}{5\times 2}$$

Do the multiplications in the fraction \frac{3\times 21}{5\times 2}.

$$\frac{63}{10}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{2 \cdot 5} = 6\frac{3}{10} = 6.3$$