Solve 21/4*22/5=

$$2 \frac { 1 } { 4 } \times 2 \frac { 2 } { 5 } =$$

Evaluate

$$\frac{27}{5}=5.4$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}\times \frac{2\times 5+2}{5}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}\times \frac{2\times 5+2}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{9}{4}\times \frac{10+2}{5}$$

Add 10 and 2 to get 12.

$$\frac{9}{4}\times \frac{12}{5}$$

Multiply \frac{9}{4} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 12}{4\times 5}$$

Do the multiplications in the fraction \frac{9\times 12}{4\times 5}.

$$\frac{108}{20}$$

Reduce the fraction \frac{108}{20} to lowest terms by extracting and canceling out 4.

$$\frac{27}{5}$$

Factor

$$\frac{3 ^ {3}}{5} = 5\frac{2}{5} = 5.4$$