Solve 3/7*73/9div5/77*63/76=

$$\frac { 3 } { 7 } \cdot \frac { 73 } { 9 } \div \frac { 5 } { 77 } \times \frac { 63 } { 76 } =$$

Evaluate

$$\frac{16863}{380}\approx 44.376315789$$

Solution Steps

Multiply \frac{3}{7} times \frac{73}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 73}{7\times 9}}{\frac{5}{77}}\times \frac{63}{76}$$

Do the multiplications in the fraction \frac{3\times 73}{7\times 9}.

$$\frac{\frac{219}{63}}{\frac{5}{77}}\times \frac{63}{76}$$

Reduce the fraction \frac{219}{63} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{73}{21}}{\frac{5}{77}}\times \frac{63}{76}$$

Divide \frac{73}{21} by \frac{5}{77} by multiplying \frac{73}{21} by the reciprocal of \frac{5}{77}.

$$\frac{73}{21}\times \frac{77}{5}\times \frac{63}{76}$$

Multiply \frac{73}{21} times \frac{77}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{73\times 77}{21\times 5}\times \frac{63}{76}$$

Do the multiplications in the fraction \frac{73\times 77}{21\times 5}.

$$\frac{5621}{105}\times \frac{63}{76}$$

Reduce the fraction \frac{5621}{105} to lowest terms by extracting and canceling out 7.

$$\frac{803}{15}\times \frac{63}{76}$$

Multiply \frac{803}{15} times \frac{63}{76} by multiplying numerator times numerator and denominator times denominator.

$$\frac{803\times 63}{15\times 76}$$

Do the multiplications in the fraction \frac{803\times 63}{15\times 76}.

$$\frac{50589}{1140}$$

Reduce the fraction \frac{50589}{1140} to lowest terms by extracting and canceling out 3.

$$\frac{16863}{380}$$

Factor

$$\frac{3 \cdot 7 \cdot 11 \cdot 73}{2 ^ {2} \cdot 5 \cdot 19} = 44\frac{143}{380} = 44.376315789473686$$