Solve 6/5:4/11

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

Evaluate

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

Solution Steps

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

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

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

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

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

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

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

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

Factor

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