Solve 6/7:3/5-3/7=

$$\frac { 6 } { 7 } : \frac { 3 } { 5 } - \frac { 3 } { 7 } =$$

Evaluate

$$1$$

Solution Steps

Divide \frac{6}{7} by \frac{3}{5} by multiplying \frac{6}{7} by the reciprocal of \frac{3}{5}.

$$\frac{6}{7}\times \frac{5}{3}-\frac{3}{7}$$

Multiply \frac{6}{7} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 5}{7\times 3}-\frac{3}{7}$$

Do the multiplications in the fraction \frac{6\times 5}{7\times 3}.

$$\frac{30}{21}-\frac{3}{7}$$

Reduce the fraction \frac{30}{21} to lowest terms by extracting and canceling out 3.

$$\frac{10}{7}-\frac{3}{7}$$

Since \frac{10}{7} and \frac{3}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{7}$$

Subtract 3 from 10 to get 7.

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

Divide 7 by 7 to get 1.

$$1$$

Factor

$$1$$