Solve 11/4div5/6

$$\frac { 11 } { 4 } \div \frac { 5 } { 6 }$$

Evaluate

$$\frac{33}{10}=3.3$$

Solution Steps

Divide \frac{11}{4} by \frac{5}{6} by multiplying \frac{11}{4} by the reciprocal of \frac{5}{6}.

$$\frac{11}{4}\times \frac{6}{5}$$

Multiply \frac{11}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 6}{4\times 5}$$

Do the multiplications in the fraction \frac{11\times 6}{4\times 5}.

$$\frac{66}{20}$$

Reduce the fraction \frac{66}{20} to lowest terms by extracting and canceling out 2.

$$\frac{33}{10}$$

Factor

$$\frac{3 \cdot 11}{2 \cdot 5} = 3\frac{3}{10} = 3.3$$