Solve 13/10*45/49*14/26*64/18

$$\frac { 13 } { 10 } \cdot \frac { 45 } { 49 } \cdot \frac { 14 } { 26 } \cdot \frac { 64 } { 18 }$$

Evaluate

$$\frac{16}{7}\approx 2.285714286$$

Solution Steps

Multiply \frac{13}{10} times \frac{45}{49} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 45}{10\times 49}\times \frac{14}{26}\times \frac{64}{18}$$

Do the multiplications in the fraction \frac{13\times 45}{10\times 49}.

$$\frac{585}{490}\times \frac{14}{26}\times \frac{64}{18}$$

Reduce the fraction \frac{585}{490} to lowest terms by extracting and canceling out 5.

$$\frac{117}{98}\times \frac{14}{26}\times \frac{64}{18}$$

Reduce the fraction \frac{14}{26} to lowest terms by extracting and canceling out 2.

$$\frac{117}{98}\times \frac{7}{13}\times \frac{64}{18}$$

Multiply \frac{117}{98} times \frac{7}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{117\times 7}{98\times 13}\times \frac{64}{18}$$

Do the multiplications in the fraction \frac{117\times 7}{98\times 13}.

$$\frac{819}{1274}\times \frac{64}{18}$$

Reduce the fraction \frac{819}{1274} to lowest terms by extracting and canceling out 91.

$$\frac{9}{14}\times \frac{64}{18}$$

Reduce the fraction \frac{64}{18} to lowest terms by extracting and canceling out 2.

$$\frac{9}{14}\times \frac{32}{9}$$

Multiply \frac{9}{14} times \frac{32}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 32}{14\times 9}$$

Cancel out 9 in both numerator and denominator.

$$\frac{32}{14}$$

Reduce the fraction \frac{32}{14} to lowest terms by extracting and canceling out 2.

$$\frac{16}{7}$$

Factor

$$\frac{2 ^ {4}}{7} = 2\frac{2}{7} = 2.2857142857142856$$