Solve 2/3*5/8*7/10=

$$\frac { 2 } { 3 } * \frac { 5 } { 8 } * \frac { 7 } { 10 } =$$

Evaluate

$$\frac{7}{24}\approx 0.291666667$$

Solution Steps

Multiply \frac{2}{3} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{3\times 8}\times \frac{7}{10}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 8}.

$$\frac{10}{24}\times \frac{7}{10}$$

Reduce the fraction \frac{10}{24} to lowest terms by extracting and canceling out 2.

$$\frac{5}{12}\times \frac{7}{10}$$

Multiply \frac{5}{12} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 7}{12\times 10}$$

Do the multiplications in the fraction \frac{5\times 7}{12\times 10}.

$$\frac{35}{120}$$

Reduce the fraction \frac{35}{120} to lowest terms by extracting and canceling out 5.

$$\frac{7}{24}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 3} = 0.2916666666666667$$