Solve 45/4div27/11

$$\frac{ 45 }{ 4 } \div \frac{ 27 }{ 11 }$$

Evaluate

$$\frac{55}{12}\approx 4.583333333$$

Solution Steps

Divide \frac{45}{4} by \frac{27}{11} by multiplying \frac{45}{4} by the reciprocal of \frac{27}{11}.

$$\frac{45}{4}\times \frac{11}{27}$$

Multiply \frac{45}{4} times \frac{11}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 11}{4\times 27}$$

Do the multiplications in the fraction \frac{45\times 11}{4\times 27}.

$$\frac{495}{108}$$

Reduce the fraction \frac{495}{108} to lowest terms by extracting and canceling out 9.

$$\frac{55}{12}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2} \cdot 3} = 4\frac{7}{12} = 4.583333333333333$$