Solve 84/5div42/5

$$8 \frac{ 4 }{ 5 } \div 4 \frac{ 2 }{ 5 }$$

Evaluate

$$2$$

Solution Steps

Divide \frac{8\times 5+4}{5} by \frac{4\times 5+2}{5} by multiplying \frac{8\times 5+4}{5} by the reciprocal of \frac{4\times 5+2}{5}.

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

Cancel out 5 in both numerator and denominator.

$$\frac{4+5\times 8}{2+4\times 5}$$

Multiply 5 and 8 to get 40.

$$\frac{4+40}{2+4\times 5}$$

Add 4 and 40 to get 44.

$$\frac{44}{2+4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{44}{2+20}$$

Add 2 and 20 to get 22.

$$\frac{44}{22}$$

Divide 44 by 22 to get 2.

$$2$$

Factor

$$2$$