Solve 1/4*5/6*7/10*1/2

$$\frac { 1 } { 4 } \cdot \frac { 5 } { 6 } \cdot \frac { 7 } { 10 } \cdot \frac { 1 } { 2 }$$

Evaluate

$$\frac{7}{96}\approx 0.072916667$$

Solution Steps

Multiply \frac{1}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{4\times 6}\times \frac{7}{10}\times \frac{1}{2}$$

Do the multiplications in the fraction \frac{1\times 5}{4\times 6}.

$$\frac{5}{24}\times \frac{7}{10}\times \frac{1}{2}$$

Multiply \frac{5}{24} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 7}{24\times 10}\times \frac{1}{2}$$

Do the multiplications in the fraction \frac{5\times 7}{24\times 10}.

$$\frac{35}{240}\times \frac{1}{2}$$

Reduce the fraction \frac{35}{240} to lowest terms by extracting and canceling out 5.

$$\frac{7}{48}\times \frac{1}{2}$$

Multiply \frac{7}{48} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 1}{48\times 2}$$

Do the multiplications in the fraction \frac{7\times 1}{48\times 2}.

$$\frac{7}{96}$$

Factor

$$\frac{7}{2 ^ {5} \cdot 3} = 0.07291666666666667$$