Solve 77/4/frac{77{10}}=

$$\frac{ \frac{ 77 }{ 4 } }{ \frac{ 77 }{ 10 } } =$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Divide \frac{77}{4} by \frac{77}{10} by multiplying \frac{77}{4} by the reciprocal of \frac{77}{10}.

$$\frac{77}{4}\times \frac{10}{77}$$

Multiply \frac{77}{4} times \frac{10}{77} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 10}{4\times 77}$$

Cancel out 77 in both numerator and denominator.

$$\frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$