Solve 21/5*10/22+3/4:21/4=

$$2 \frac { 1 } { 5 } \cdot \frac { 10 } { 22 } + \frac { 3 } { 4 } : 2 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+1}{5}\times \frac{10}{22}+\frac{\frac{3}{4}}{\frac{2\times 4+1}{4}}$$

Add 10 and 1 to get 11.

$$\frac{11}{5}\times \frac{10}{22}+\frac{\frac{3}{4}}{\frac{2\times 4+1}{4}}$$

Reduce the fraction \frac{10}{22} to lowest terms by extracting and canceling out 2.

$$\frac{11}{5}\times \frac{5}{11}+\frac{\frac{3}{4}}{\frac{2\times 4+1}{4}}$$

Cancel out \frac{11}{5} and its reciprocal \frac{5}{11}.

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

Divide \frac{3}{4} by \frac{2\times 4+1}{4} by multiplying \frac{3}{4} by the reciprocal of \frac{2\times 4+1}{4}.

$$1+\frac{3\times 4}{4\left(2\times 4+1\right)}$$

Cancel out 4 in both numerator and denominator.

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

Multiply 2 and 4 to get 8.

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

Add 1 and 8 to get 9.

$$1+\frac{3}{9}$$

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

$$1+\frac{1}{3}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{3}{3}+\frac{1}{3}$$

Since \frac{3}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$