Solve 7/11div12/5

$$\frac { 7 } { 11 } \div 1 \frac { 2 } { 5 }$$

Evaluate

$$\frac{5}{11}\approx 0.454545455$$

Solution Steps

Divide \frac{7}{11} by \frac{1\times 5+2}{5} by multiplying \frac{7}{11} by the reciprocal of \frac{1\times 5+2}{5}.

$$\frac{7\times 5}{11\left(1\times 5+2\right)}$$

Multiply 7 and 5 to get 35.

$$\frac{35}{11\left(1\times 5+2\right)}$$

Multiply 1 and 5 to get 5.

$$\frac{35}{11\left(5+2\right)}$$

Add 5 and 2 to get 7.

$$\frac{35}{11\times 7}$$

Multiply 11 and 7 to get 77.

$$\frac{35}{77}$$

Reduce the fraction \frac{35}{77} to lowest terms by extracting and canceling out 7.

$$\frac{5}{11}$$

Factor

$$\frac{5}{11} = 0.45454545454545453$$