Solve 11/2+2/5div13/4

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

Evaluate

$$\frac{121}{70}\approx 1.728571429$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Divide \frac{2}{5} by \frac{1\times 4+3}{4} by multiplying \frac{2}{5} by the reciprocal of \frac{1\times 4+3}{4}.

$$\frac{3}{2}+\frac{2\times 4}{5\left(1\times 4+3\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{3}{2}+\frac{8}{5\left(1\times 4+3\right)}$$

Multiply 1 and 4 to get 4.

$$\frac{3}{2}+\frac{8}{5\left(4+3\right)}$$

Add 4 and 3 to get 7.

$$\frac{3}{2}+\frac{8}{5\times 7}$$

Multiply 5 and 7 to get 35.

$$\frac{3}{2}+\frac{8}{35}$$

Least common multiple of 2 and 35 is 70. Convert \frac{3}{2} and \frac{8}{35} to fractions with denominator 70.

$$\frac{105}{70}+\frac{16}{70}$$

Since \frac{105}{70} and \frac{16}{70} have the same denominator, add them by adding their numerators.

$$\frac{105+16}{70}$$

Add 105 and 16 to get 121.

$$\frac{121}{70}$$

Factor

$$\frac{11 ^ {2}}{2 \cdot 5 \cdot 7} = 1\frac{51}{70} = 1.7285714285714286$$