Solve 35/9*63/10div35/10

$$\frac{ 35 }{ 9 } \times \frac{ 63 }{ 10 } \div \frac{ 35 }{ 10 }$$

Evaluate

$$7$$

Solution Steps

Multiply \frac{35}{9} times \frac{63}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{35\times 63}{9\times 10}}{\frac{35}{10}}$$

Do the multiplications in the fraction \frac{35\times 63}{9\times 10}.

$$\frac{\frac{2205}{90}}{\frac{35}{10}}$$

Reduce the fraction \frac{2205}{90} to lowest terms by extracting and canceling out 45.

$$\frac{\frac{49}{2}}{\frac{35}{10}}$$

Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{49}{2}}{\frac{7}{2}}$$

Divide \frac{49}{2} by \frac{7}{2} by multiplying \frac{49}{2} by the reciprocal of \frac{7}{2}.

$$\frac{49}{2}\times \frac{2}{7}$$

Multiply \frac{49}{2} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 2}{2\times 7}$$

Cancel out 2 in both numerator and denominator.

$$\frac{49}{7}$$

Divide 49 by 7 to get 7.

$$7$$

Factor

$$7$$