Solve 5/56/frac{5{49}}

$$\frac{ \frac{ 5 }{ 56 } }{ \frac{ 5 }{ 49 } }$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Divide \frac{5}{56} by \frac{5}{49} by multiplying \frac{5}{56} by the reciprocal of \frac{5}{49}.

$$\frac{5}{56}\times \frac{49}{5}$$

Multiply \frac{5}{56} times \frac{49}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 49}{56\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{49}{56}$$

Reduce the fraction \frac{49}{56} to lowest terms by extracting and canceling out 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$