Solve 11/5*21/2+23/4*4/5

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

Evaluate

$$\frac{26}{5}=5.2$$

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 1 to get 6.

$$\frac{6}{5}\times \frac{2\times 2+1}{2}+\frac{2\times 4+3}{4}\times \frac{4}{5}$$

Multiply 2 and 2 to get 4.

$$\frac{6}{5}\times \frac{4+1}{2}+\frac{2\times 4+3}{4}\times \frac{4}{5}$$

Add 4 and 1 to get 5.

$$\frac{6}{5}\times \frac{5}{2}+\frac{2\times 4+3}{4}\times \frac{4}{5}$$

Multiply \frac{6}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 5}{5\times 2}+\frac{2\times 4+3}{4}\times \frac{4}{5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{6}{2}+\frac{2\times 4+3}{4}\times \frac{4}{5}$$

Divide 6 by 2 to get 3.

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

Multiply 2 and 4 to get 8.

$$3+\frac{8+3}{4}\times \frac{4}{5}$$

Add 8 and 3 to get 11.

$$3+\frac{11}{4}\times \frac{4}{5}$$

Multiply \frac{11}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$3+\frac{11\times 4}{4\times 5}$$

Cancel out 4 in both numerator and denominator.

$$3+\frac{11}{5}$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{15}{5}+\frac{11}{5}$$

Since \frac{15}{5} and \frac{11}{5} have the same denominator, add them by adding their numerators.

$$\frac{15+11}{5}$$

Add 15 and 11 to get 26.

$$\frac{26}{5}$$

Factor

$$\frac{2 \cdot 13}{5} = 5\frac{1}{5} = 5.2$$