Solve 120/85*2,5*5/6=

$$\frac { 120 } { 85 } \cdot 2,5 \cdot \frac { 5 } { 6 } =$$

Evaluate

$$\frac{50}{17}\approx 2,941176471$$

Solution Steps

Reduce the fraction \frac{120}{85} to lowest terms by extracting and canceling out 5.

$$\frac{24}{17}\times 2,5\times \frac{5}{6}$$

Convert decimal number 2,5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{24}{17}\times \frac{5}{2}\times \frac{5}{6}$$

Multiply \frac{24}{17} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 5}{17\times 2}\times \frac{5}{6}$$

Do the multiplications in the fraction \frac{24\times 5}{17\times 2}.

$$\frac{120}{34}\times \frac{5}{6}$$

Reduce the fraction \frac{120}{34} to lowest terms by extracting and canceling out 2.

$$\frac{60}{17}\times \frac{5}{6}$$

Multiply \frac{60}{17} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{60\times 5}{17\times 6}$$

Do the multiplications in the fraction \frac{60\times 5}{17\times 6}.

$$\frac{300}{102}$$

Reduce the fraction \frac{300}{102} to lowest terms by extracting and canceling out 6.

$$\frac{50}{17}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{17} = 2\frac{16}{17} = 2.9411764705882355$$