Solve 7/10*6/9*3/8=

$$\frac { 7 } { 10 } * \frac { 6 } { 9 } * \frac { 3 } { 8 } =$$

Evaluate

$$\frac{7}{40}=0.175$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

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

Multiply \frac{7}{10} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{7\times 2}{10\times 3}.

$$\frac{14}{30}\times \frac{3}{8}$$

Reduce the fraction \frac{14}{30} to lowest terms by extracting and canceling out 2.

$$\frac{7}{15}\times \frac{3}{8}$$

Multiply \frac{7}{15} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{15\times 8}$$

Do the multiplications in the fraction \frac{7\times 3}{15\times 8}.

$$\frac{21}{120}$$

Reduce the fraction \frac{21}{120} to lowest terms by extracting and canceling out 3.

$$\frac{7}{40}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 5} = 0.175$$