Solve (14+8/28)div(2/11)=

$$( \frac { 14 + 8 } { 28 } ) \div ( \frac { 2 } { 11 } ) =$$

Evaluate

$$\frac{121}{28}\approx 4.321428571$$

Solution Steps

Divide \frac{14+8}{28} by \frac{2}{11} by multiplying \frac{14+8}{28} by the reciprocal of \frac{2}{11}.

$$\frac{\left(14+8\right)\times 11}{28\times 2}$$

Add 14 and 8 to get 22.

$$\frac{22\times 11}{28\times 2}$$

Multiply 22 and 11 to get 242.

$$\frac{242}{28\times 2}$$

Multiply 28 and 2 to get 56.

$$\frac{242}{56}$$

Reduce the fraction \frac{242}{56} to lowest terms by extracting and canceling out 2.

$$\frac{121}{28}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 7} = 4\frac{9}{28} = 4.321428571428571$$