Solve 13/4*22/5=

$$1 \frac { 3 } { 4 } \times 2 \frac { 2 } { 5 } =$$

Evaluate

$$\frac{21}{5}=4.2$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}\times \frac{2\times 5+2}{5}$$

Add 4 and 3 to get 7.

$$\frac{7}{4}\times \frac{2\times 5+2}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{7}{4}\times \frac{10+2}{5}$$

Add 10 and 2 to get 12.

$$\frac{7}{4}\times \frac{12}{5}$$

Multiply \frac{7}{4} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 12}{4\times 5}$$

Do the multiplications in the fraction \frac{7\times 12}{4\times 5}.

$$\frac{84}{20}$$

Reduce the fraction \frac{84}{20} to lowest terms by extracting and canceling out 4.

$$\frac{21}{5}$$

Factor

$$\frac{3 \cdot 7}{5} = 4\frac{1}{5} = 4.2$$