Solve 113/24div35/128

$$\frac{ 113 }{ 24 } \div \frac{ 35 }{ 128 }$$

Evaluate

$$\frac{1808}{105}\approx 17.219047619$$

Solution Steps

Divide \frac{113}{24} by \frac{35}{128} by multiplying \frac{113}{24} by the reciprocal of \frac{35}{128}.

$$\frac{113}{24}\times \frac{128}{35}$$

Multiply \frac{113}{24} times \frac{128}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{113\times 128}{24\times 35}$$

Do the multiplications in the fraction \frac{113\times 128}{24\times 35}.

$$\frac{14464}{840}$$

Reduce the fraction \frac{14464}{840} to lowest terms by extracting and canceling out 8.

$$\frac{1808}{105}$$

Factor

$$\frac{2 ^ {4} \cdot 113}{3 \cdot 5 \cdot 7} = 17\frac{23}{105} = 17.21904761904762$$