Solve 3/2div11/20

$$\frac { 3 } { 2 } \div \frac { 11 } { 20 }$$

Evaluate

$$\frac{30}{11}\approx 2.727272727$$

Solution Steps

Divide \frac{3}{2} by \frac{11}{20} by multiplying \frac{3}{2} by the reciprocal of \frac{11}{20}.

$$\frac{3}{2}\times \frac{20}{11}$$

Multiply \frac{3}{2} times \frac{20}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 20}{2\times 11}$$

Do the multiplications in the fraction \frac{3\times 20}{2\times 11}.

$$\frac{60}{22}$$

Reduce the fraction \frac{60}{22} to lowest terms by extracting and canceling out 2.

$$\frac{30}{11}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{11} = 2\frac{8}{11} = 2.727272727272727$$