Solve 4/5*20/35-1/5*6/7

$$\frac { 4 } { 5 } \cdot \frac { 20 } { 35 } - \frac { 1 } { 5 } \cdot \frac { 6 } { 7 }$$

Evaluate

$$\frac{2}{7}\approx 0.285714286$$

Solution Steps

Reduce the fraction \frac{20}{35} to lowest terms by extracting and canceling out 5.

$$\frac{4}{5}\times \frac{4}{7}-\frac{1}{5}\times \frac{6}{7}$$

Multiply \frac{4}{5} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 4}{5\times 7}-\frac{1}{5}\times \frac{6}{7}$$

Do the multiplications in the fraction \frac{4\times 4}{5\times 7}.

$$\frac{16}{35}-\frac{1}{5}\times \frac{6}{7}$$

Multiply \frac{1}{5} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16}{35}-\frac{1\times 6}{5\times 7}$$

Do the multiplications in the fraction \frac{1\times 6}{5\times 7}.

$$\frac{16}{35}-\frac{6}{35}$$

Since \frac{16}{35} and \frac{6}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-6}{35}$$

Subtract 6 from 16 to get 10.

$$\frac{10}{35}$$

Reduce the fraction \frac{10}{35} to lowest terms by extracting and canceling out 5.

$$\frac{2}{7}$$

Factor

$$\frac{2}{7} = 0.2857142857142857$$