Solve 14/15+15/6div21/2

$$1 \frac { 4 } { 15 } + 1 \frac { 5 } { 6 } \div 2 \frac { 1 } { 2 }$$

Evaluate

$$2$$

Solution Steps

Multiply 1 and 15 to get 15.

$$\frac{15+4}{15}+\frac{\frac{1\times 6+5}{6}}{\frac{2\times 2+1}{2}}$$

Add 15 and 4 to get 19.

$$\frac{19}{15}+\frac{\frac{1\times 6+5}{6}}{\frac{2\times 2+1}{2}}$$

Divide \frac{1\times 6+5}{6} by \frac{2\times 2+1}{2} by multiplying \frac{1\times 6+5}{6} by the reciprocal of \frac{2\times 2+1}{2}.

$$\frac{19}{15}+\frac{\left(1\times 6+5\right)\times 2}{6\left(2\times 2+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{19}{15}+\frac{5+6}{3\left(1+2\times 2\right)}$$

Add 5 and 6 to get 11.

$$\frac{19}{15}+\frac{11}{3\left(1+2\times 2\right)}$$

Multiply 2 and 2 to get 4.

$$\frac{19}{15}+\frac{11}{3\left(1+4\right)}$$

Add 1 and 4 to get 5.

$$\frac{19}{15}+\frac{11}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{19}{15}+\frac{11}{15}$$

Since \frac{19}{15} and \frac{11}{15} have the same denominator, add them by adding their numerators.

$$\frac{19+11}{15}$$

Add 19 and 11 to get 30.

$$\frac{30}{15}$$

Divide 30 by 15 to get 2.

$$2$$

Factor

$$2$$