Solve (54*13/14)*7/13

$$( 54 \cdot \frac { 13 } { 14 } ) \cdot \frac { 7 } { 13 }$$

Evaluate

$$27$$

Solution Steps

Express 54\times \frac{13}{14} as a single fraction.

$$\frac{54\times 13}{14}\times \frac{7}{13}$$

Multiply 54 and 13 to get 702.

$$\frac{702}{14}\times \frac{7}{13}$$

Reduce the fraction \frac{702}{14} to lowest terms by extracting and canceling out 2.

$$\frac{351}{7}\times \frac{7}{13}$$

Multiply \frac{351}{7} times \frac{7}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{351\times 7}{7\times 13}$$

Cancel out 7 in both numerator and denominator.

$$\frac{351}{13}$$

Divide 351 by 13 to get 27.

$$27$$

Factor

$$3^{3}$$