Solve 74/5div13/10

$$7 \frac{ 4 }{ 5 } \div 1 \frac{ 3 }{ 10 }$$

Evaluate

$$6$$

Solution Steps

Divide \frac{7\times 5+4}{5} by \frac{1\times 10+3}{10} by multiplying \frac{7\times 5+4}{5} by the reciprocal of \frac{1\times 10+3}{10}.

$$\frac{\left(7\times 5+4\right)\times 10}{5\left(1\times 10+3\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2\left(4+5\times 7\right)}{3+10}$$

Multiply 5 and 7 to get 35.

$$\frac{2\left(4+35\right)}{3+10}$$

Add 4 and 35 to get 39.

$$\frac{2\times 39}{3+10}$$

Multiply 2 and 39 to get 78.

$$\frac{78}{3+10}$$

Add 3 and 10 to get 13.

$$\frac{78}{13}$$

Divide 78 by 13 to get 6.

$$6$$

Factor

$$2\times 3$$