Solve 15*42/51*2/7=

$$15 \times \frac { 42 } { 51 } \times \frac { 2 } { 7 } =$$

Evaluate

$$\frac{60}{17}\approx 3.529411765$$

Solution Steps

Reduce the fraction \frac{42}{51} to lowest terms by extracting and canceling out 3.

$$15\times \frac{14}{17}\times \frac{2}{7}$$

Express 15\times \frac{14}{17} as a single fraction.

$$\frac{15\times 14}{17}\times \frac{2}{7}$$

Multiply 15 and 14 to get 210.

$$\frac{210}{17}\times \frac{2}{7}$$

Multiply \frac{210}{17} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{210\times 2}{17\times 7}$$

Do the multiplications in the fraction \frac{210\times 2}{17\times 7}.

$$\frac{420}{119}$$

Reduce the fraction \frac{420}{119} to lowest terms by extracting and canceling out 7.

$$\frac{60}{17}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5}{17} = 3\frac{9}{17} = 3.5294117647058822$$