Solve 5/6*22/3*3=

$$\frac { 5 } { 6 } \times 2 \frac { 2 } { 3 } \times 3 =$$

Evaluate

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

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{5}{6}\times \frac{6+2}{3}\times 3$$

Add 6 and 2 to get 8.

$$\frac{5}{6}\times \frac{8}{3}\times 3$$

Multiply \frac{5}{6} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 8}{6\times 3}\times 3$$

Do the multiplications in the fraction \frac{5\times 8}{6\times 3}.

$$\frac{40}{18}\times 3$$

Reduce the fraction \frac{40}{18} to lowest terms by extracting and canceling out 2.

$$\frac{20}{9}\times 3$$

Express \frac{20}{9}\times 3 as a single fraction.

$$\frac{20\times 3}{9}$$

Multiply 20 and 3 to get 60.

$$\frac{60}{9}$$

Reduce the fraction \frac{60}{9} to lowest terms by extracting and canceling out 3.

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

Factor

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