Solve 845.3/frac{7{8}}

$$\frac{ 845.3 }{ \frac{ 7 }{ 8 } }$$

Evaluate

$$\frac{33812}{35}\approx 966.057142857$$

Solution Steps

Divide 845.3 by \frac{7}{8} by multiplying 845.3 by the reciprocal of \frac{7}{8}.

$$845.3\times \frac{8}{7}$$

Convert decimal number 845.3 to fraction \frac{8453}{10}.

$$\frac{8453}{10}\times \frac{8}{7}$$

Multiply \frac{8453}{10} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8453\times 8}{10\times 7}$$

Do the multiplications in the fraction \frac{8453\times 8}{10\times 7}.

$$\frac{67624}{70}$$

Reduce the fraction \frac{67624}{70} to lowest terms by extracting and canceling out 2.

$$\frac{33812}{35}$$

Factor

$$\frac{79 \cdot 107 \cdot 2 ^ {2}}{5 \cdot 7} = 966\frac{2}{35} = 966.0571428571428$$