Solve 71/2div33/4*17/15

$$7 \frac { 1 } { 2 } \div 3 \frac { 3 } { 4 } \times 1 \frac { 7 } { 15 }$$

Evaluate

$$\frac{44}{15}\approx 2.933333333$$

Solution Steps

Divide \frac{7\times 2+1}{2} by \frac{3\times 4+3}{4} by multiplying \frac{7\times 2+1}{2} by the reciprocal of \frac{3\times 4+3}{4}.

$$\frac{\left(7\times 2+1\right)\times 4}{2\left(3\times 4+3\right)}\times \frac{1\times 15+7}{15}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(1+2\times 7\right)}{3+3\times 4}\times \frac{1\times 15+7}{15}$$

Multiply 2 and 7 to get 14.

$$\frac{2\left(1+14\right)}{3+3\times 4}\times \frac{1\times 15+7}{15}$$

Add 1 and 14 to get 15.

$$\frac{2\times 15}{3+3\times 4}\times \frac{1\times 15+7}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{30}{3+3\times 4}\times \frac{1\times 15+7}{15}$$

Multiply 3 and 4 to get 12.

$$\frac{30}{3+12}\times \frac{1\times 15+7}{15}$$

Add 3 and 12 to get 15.

$$\frac{30}{15}\times \frac{1\times 15+7}{15}$$

Divide 30 by 15 to get 2.

$$2\times \frac{1\times 15+7}{15}$$

Multiply 1 and 15 to get 15.

$$2\times \frac{15+7}{15}$$

Add 15 and 7 to get 22.

$$2\times \frac{22}{15}$$

Express 2\times \frac{22}{15} as a single fraction.

$$\frac{2\times 22}{15}$$

Multiply 2 and 22 to get 44.

$$\frac{44}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{3 \cdot 5} = 2\frac{14}{15} = 2.933333333333333$$