Solve 5/6*3/4*5/7

$$\frac{ 5 }{ 6 } \times \frac{ 3 }{ 4 } \times \frac{ 5 }{ 7 }$$

Evaluate

$$\frac{25}{56}\approx 0.446428571$$

Solution Steps

Multiply \frac{5}{6} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{6\times 4}\times \frac{5}{7}$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 4}.

$$\frac{15}{24}\times \frac{5}{7}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{5}{8}\times \frac{5}{7}$$

Multiply \frac{5}{8} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 5}{8\times 7}$$

Do the multiplications in the fraction \frac{5\times 5}{8\times 7}.

$$\frac{25}{56}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 7} = 0.44642857142857145$$