Solve 540/120*4/14*5

$$\frac { 540 } { 120 } \times \frac { 4 } { 14 } \times 5$$

Evaluate

$$\frac{45}{7}\approx 6.428571429$$

Solution Steps

Reduce the fraction \frac{540}{120} to lowest terms by extracting and canceling out 60.

$$\frac{9}{2}\times \frac{4}{14}\times 5$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}\times \frac{2}{7}\times 5$$

Multiply \frac{9}{2} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 2}{2\times 7}\times 5$$

Cancel out 2 in both numerator and denominator.

$$\frac{9}{7}\times 5$$

Express \frac{9}{7}\times 5 as a single fraction.

$$\frac{9\times 5}{7}$$

Multiply 9 and 5 to get 45.

$$\frac{45}{7}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{7} = 6\frac{3}{7} = 6.428571428571429$$