Solve 45/32div(75/48*18/30)

$$\frac { 45 } { 32 } \div ( \frac { 75 } { 48 } \times \frac { 18 } { 30 } )$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Reduce the fraction \frac{75}{48} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{45}{32}}{\frac{25}{16}\times \frac{18}{30}}$$

Reduce the fraction \frac{18}{30} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{45}{32}}{\frac{25}{16}\times \frac{3}{5}}$$

Multiply \frac{25}{16} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{45}{32}}{\frac{25\times 3}{16\times 5}}$$

Do the multiplications in the fraction \frac{25\times 3}{16\times 5}.

$$\frac{\frac{45}{32}}{\frac{75}{80}}$$

Reduce the fraction \frac{75}{80} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{45}{32}}{\frac{15}{16}}$$

Divide \frac{45}{32} by \frac{15}{16} by multiplying \frac{45}{32} by the reciprocal of \frac{15}{16}.

$$\frac{45}{32}\times \frac{16}{15}$$

Multiply \frac{45}{32} times \frac{16}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 16}{32\times 15}$$

Do the multiplications in the fraction \frac{45\times 16}{32\times 15}.

$$\frac{720}{480}$$

Reduce the fraction \frac{720}{480} to lowest terms by extracting and canceling out 240.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$