Solve 7/18*45/56div25/32=

$$\frac { 7 } { 18 } \times \frac { 45 } { 56 } \div \frac { 25 } { 32 } =$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Multiply \frac{7}{18} times \frac{45}{56} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7\times 45}{18\times 56}}{\frac{25}{32}}$$

Do the multiplications in the fraction \frac{7\times 45}{18\times 56}.

$$\frac{\frac{315}{1008}}{\frac{25}{32}}$$

Reduce the fraction \frac{315}{1008} to lowest terms by extracting and canceling out 63.

$$\frac{\frac{5}{16}}{\frac{25}{32}}$$

Divide \frac{5}{16} by \frac{25}{32} by multiplying \frac{5}{16} by the reciprocal of \frac{25}{32}.

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

Multiply \frac{5}{16} times \frac{32}{25} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{5\times 32}{16\times 25}.

$$\frac{160}{400}$$

Reduce the fraction \frac{160}{400} to lowest terms by extracting and canceling out 80.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$