Solve 22/3:15/6

$$2 \frac { 2 } { 3 } : 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{16}{11}\approx 1.454545455$$

Solution Steps

Divide \frac{2\times 3+2}{3} by \frac{1\times 6+5}{6} by multiplying \frac{2\times 3+2}{3} by the reciprocal of \frac{1\times 6+5}{6}.

$$\frac{\left(2\times 3+2\right)\times 6}{3\left(1\times 6+5\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2\left(2+2\times 3\right)}{5+6}$$

Multiply 2 and 3 to get 6.

$$\frac{2\left(2+6\right)}{5+6}$$

Add 2 and 6 to get 8.

$$\frac{2\times 8}{5+6}$$

Multiply 2 and 8 to get 16.

$$\frac{16}{5+6}$$

Add 5 and 6 to get 11.

$$\frac{16}{11}$$

Factor

$$\frac{2 ^ {4}}{11} = 1\frac{5}{11} = 1.4545454545454546$$