Solve 62/3:71/2

$$6 \frac { 2 } { 3 } : 7 \frac { 1 } { 2 }$$

Evaluate

$$\frac{8}{9}\approx 0.888888889$$

Solution Steps

Divide \frac{6\times 3+2}{3} by \frac{7\times 2+1}{2} by multiplying \frac{6\times 3+2}{3} by the reciprocal of \frac{7\times 2+1}{2}.

$$\frac{\left(6\times 3+2\right)\times 2}{3\left(7\times 2+1\right)}$$

Multiply 6 and 3 to get 18.

$$\frac{\left(18+2\right)\times 2}{3\left(7\times 2+1\right)}$$

Add 18 and 2 to get 20.

$$\frac{20\times 2}{3\left(7\times 2+1\right)}$$

Multiply 20 and 2 to get 40.

$$\frac{40}{3\left(7\times 2+1\right)}$$

Multiply 7 and 2 to get 14.

$$\frac{40}{3\left(14+1\right)}$$

Add 14 and 1 to get 15.

$$\frac{40}{3\times 15}$$

Multiply 3 and 15 to get 45.

$$\frac{40}{45}$$

Reduce the fraction \frac{40}{45} to lowest terms by extracting and canceling out 5.

$$\frac{8}{9}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {2}} = 0.8888888888888888$$