Solve 31/7*23/14*6*49/62*13/2=

$$\frac { 31 } { 7 } \cdot \frac { 23 } { 14 } \cdot 6 \cdot \frac { 49 } { 62 } \cdot \frac { 13 } { 2 } =$$

Evaluate

$$\frac{897}{4}=224.25$$

Solution Steps

Multiply \frac{31}{7} times \frac{23}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 23}{7\times 14}\times 6\times \frac{49}{62}\times \frac{13}{2}$$

Do the multiplications in the fraction \frac{31\times 23}{7\times 14}.

$$\frac{713}{98}\times 6\times \frac{49}{62}\times \frac{13}{2}$$

Express \frac{713}{98}\times 6 as a single fraction.

$$\frac{713\times 6}{98}\times \frac{49}{62}\times \frac{13}{2}$$

Multiply 713 and 6 to get 4278.

$$\frac{4278}{98}\times \frac{49}{62}\times \frac{13}{2}$$

Reduce the fraction \frac{4278}{98} to lowest terms by extracting and canceling out 2.

$$\frac{2139}{49}\times \frac{49}{62}\times \frac{13}{2}$$

Multiply \frac{2139}{49} times \frac{49}{62} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2139\times 49}{49\times 62}\times \frac{13}{2}$$

Cancel out 49 in both numerator and denominator.

$$\frac{2139}{62}\times \frac{13}{2}$$

Reduce the fraction \frac{2139}{62} to lowest terms by extracting and canceling out 31.

$$\frac{69}{2}\times \frac{13}{2}$$

Multiply \frac{69}{2} times \frac{13}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{69\times 13}{2\times 2}$$

Do the multiplications in the fraction \frac{69\times 13}{2\times 2}.

$$\frac{897}{4}$$

Factor

$$\frac{3 \cdot 13 \cdot 23}{2 ^ {2}} = 224\frac{1}{4} = 224.25$$