Solve 74/5div11/2

$$7 \frac{ 4 }{ 5 } \div 1 \frac{ 1 }{ 2 }$$

Evaluate

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

Solution Steps

Divide \frac{7\times 5+4}{5} by \frac{1\times 2+1}{2} by multiplying \frac{7\times 5+4}{5} by the reciprocal of \frac{1\times 2+1}{2}.

$$\frac{\left(7\times 5+4\right)\times 2}{5\left(1\times 2+1\right)}$$

Multiply 7 and 5 to get 35.

$$\frac{\left(35+4\right)\times 2}{5\left(1\times 2+1\right)}$$

Add 35 and 4 to get 39.

$$\frac{39\times 2}{5\left(1\times 2+1\right)}$$

Multiply 39 and 2 to get 78.

$$\frac{78}{5\left(1\times 2+1\right)}$$

Multiply 1 and 2 to get 2.

$$\frac{78}{5\left(2+1\right)}$$

Add 2 and 1 to get 3.

$$\frac{78}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$\frac{78}{15}$$

Reduce the fraction \frac{78}{15} to lowest terms by extracting and canceling out 3.

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

Factor

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