Solve 14.6div8/13

$$14.6 \div \frac{ 8 }{ 13 }$$

Evaluate

$$23.725$$

Solution Steps

Divide 14.6 by \frac{8}{13} by multiplying 14.6 by the reciprocal of \frac{8}{13}.

$$14.6\times \frac{13}{8}$$

Convert decimal number 14.6 to fraction \frac{146}{10}. Reduce the fraction \frac{146}{10} to lowest terms by extracting and canceling out 2.

$$\frac{73}{5}\times \frac{13}{8}$$

Multiply \frac{73}{5} times \frac{13}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{73\times 13}{5\times 8}$$

Do the multiplications in the fraction \frac{73\times 13}{5\times 8}.

$$\frac{949}{40}$$

Factor

$$\frac{13 \cdot 73}{5 \cdot 2 ^ {3}} = 23\frac{29}{40} = 23.725$$