Solve (10)quad2/7*21/3=

$$( 10 ) \quad \frac { 2 } { 7 } \times 2 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Express 10\times \frac{2}{7} as a single fraction.

$$\frac{10\times 2}{7}\times \frac{2\times 3+1}{3}$$

Multiply 10 and 2 to get 20.

$$\frac{20}{7}\times \frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{20}{7}\times \frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{20}{7}\times \frac{7}{3}$$

Multiply \frac{20}{7} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 7}{7\times 3}$$

Cancel out 7 in both numerator and denominator.

$$\frac{20}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$