Solve 37/11div14/11

$$3 \frac { 7 } { 11 } \div 1 \frac { 4 } { 11 }$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Divide \frac{3\times 11+7}{11} by \frac{1\times 11+4}{11} by multiplying \frac{3\times 11+7}{11} by the reciprocal of \frac{1\times 11+4}{11}.

$$\frac{\left(3\times 11+7\right)\times 11}{11\left(1\times 11+4\right)}$$

Cancel out 11 in both numerator and denominator.

$$\frac{7+3\times 11}{4+11}$$

Multiply 3 and 11 to get 33.

$$\frac{7+33}{4+11}$$

Add 7 and 33 to get 40.

$$\frac{40}{4+11}$$

Add 4 and 11 to get 15.

$$\frac{40}{15}$$

Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$