Solve 75/8div23/6

$$\frac{ 75 }{ 8 } \div \frac{ 23 }{ 6 }$$

Evaluate

$$\frac{225}{92}\approx 2.445652174$$

Solution Steps

Divide \frac{75}{8} by \frac{23}{6} by multiplying \frac{75}{8} by the reciprocal of \frac{23}{6}.

$$\frac{75}{8}\times \frac{6}{23}$$

Multiply \frac{75}{8} times \frac{6}{23} by multiplying numerator times numerator and denominator times denominator.

$$\frac{75\times 6}{8\times 23}$$

Do the multiplications in the fraction \frac{75\times 6}{8\times 23}.

$$\frac{450}{184}$$

Reduce the fraction \frac{450}{184} to lowest terms by extracting and canceling out 2.

$$\frac{225}{92}$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {2}}{2 ^ {2} \cdot 23} = 2\frac{41}{92} = 2.4456521739130435$$