Solve 22/3*21/2

$$2 \frac { 2 } { 3 } \times 2 \frac { 1 } { 2 }$$

Evaluate

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

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}\times \frac{2\times 2+1}{2}$$

Add 6 and 2 to get 8.

$$\frac{8}{3}\times \frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{8}{3}\times \frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{8}{3}\times \frac{5}{2}$$

Multiply \frac{8}{3} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 5}{3\times 2}$$

Do the multiplications in the fraction \frac{8\times 5}{3\times 2}.

$$\frac{40}{6}$$

Reduce the fraction \frac{40}{6} to lowest terms by extracting and canceling out 2.

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

Factor

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