Solve 845.5/frac{7{8}}

$$\frac{ 845.5 }{ \frac{ 7 }{ 8 } }$$

Evaluate

$$\frac{6764}{7}\approx 966.285714286$$

Solution Steps

Divide 845.5 by \frac{7}{8} by multiplying 845.5 by the reciprocal of \frac{7}{8}.

$$845.5\times \frac{8}{7}$$

Convert decimal number 845.5 to fraction \frac{8455}{10}. Reduce the fraction \frac{8455}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1691}{2}\times \frac{8}{7}$$

Multiply \frac{1691}{2} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1691\times 8}{2\times 7}$$

Do the multiplications in the fraction \frac{1691\times 8}{2\times 7}.

$$\frac{13528}{14}$$

Reduce the fraction \frac{13528}{14} to lowest terms by extracting and canceling out 2.

$$\frac{6764}{7}$$

Factor

$$\frac{19 \cdot 89 \cdot 2 ^ {2}}{7} = 966\frac{2}{7} = 966.2857142857143$$