Solve 2/3*3/4*7/15*5/7

$$\frac { 2 } { 3 } \times \frac { 3 } { 4 } \times \frac { 7 } { 15 } \times \frac { 5 } { 7 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Multiply \frac{2}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{3\times 4}\times \frac{7}{15}\times \frac{5}{7}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{4}\times \frac{7}{15}\times \frac{5}{7}$$

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

$$\frac{1}{2}\times \frac{7}{15}\times \frac{5}{7}$$

Multiply \frac{1}{2} times \frac{7}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 7}{2\times 15}\times \frac{5}{7}$$

Do the multiplications in the fraction \frac{1\times 7}{2\times 15}.

$$\frac{7}{30}\times \frac{5}{7}$$

Multiply \frac{7}{30} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{30\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{5}{30}$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$