Solve 42/5div41/2

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

Evaluate

$$\frac{44}{45}\approx 0.977777778$$

Solution Steps

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

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

Multiply 4 and 5 to get 20.

$$\frac{\left(20+2\right)\times 2}{5\left(4\times 2+1\right)}$$

Add 20 and 2 to get 22.

$$\frac{22\times 2}{5\left(4\times 2+1\right)}$$

Multiply 22 and 2 to get 44.

$$\frac{44}{5\left(4\times 2+1\right)}$$

Multiply 4 and 2 to get 8.

$$\frac{44}{5\left(8+1\right)}$$

Add 8 and 1 to get 9.

$$\frac{44}{5\times 9}$$

Multiply 5 and 9 to get 45.

$$\frac{44}{45}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{3 ^ {2} \cdot 5} = 0.9777777777777777$$