Solve (3-13/5)*10/21=

$$( 3 - 1 \frac { 3 } { 5 } ) \times \frac { 10 } { 21 } =$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\left(3-\frac{5+3}{5}\right)\times \frac{10}{21}$$

Add 5 and 3 to get 8.

$$\left(3-\frac{8}{5}\right)\times \frac{10}{21}$$

Convert 3 to fraction \frac{15}{5}.

$$\left(\frac{15}{5}-\frac{8}{5}\right)\times \frac{10}{21}$$

Since \frac{15}{5} and \frac{8}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{5}\times \frac{10}{21}$$

Subtract 8 from 15 to get 7.

$$\frac{7}{5}\times \frac{10}{21}$$

Multiply \frac{7}{5} times \frac{10}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 10}{5\times 21}$$

Do the multiplications in the fraction \frac{7\times 10}{5\times 21}.

$$\frac{70}{105}$$

Reduce the fraction \frac{70}{105} to lowest terms by extracting and canceling out 35.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$