Solve (2/7*4/9)*5/12=

$$( \frac { 2 } { 7 } \times \frac { 4 } { 9 } ) \times \frac { 5 } { 12 } =$$

Evaluate

$$\frac{10}{189}\approx 0.052910053$$

Solution Steps

Multiply \frac{2}{7} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{7\times 9}\times \frac{5}{12}$$

Do the multiplications in the fraction \frac{2\times 4}{7\times 9}.

$$\frac{8}{63}\times \frac{5}{12}$$

Multiply \frac{8}{63} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 5}{63\times 12}$$

Do the multiplications in the fraction \frac{8\times 5}{63\times 12}.

$$\frac{40}{756}$$

Reduce the fraction \frac{40}{756} to lowest terms by extracting and canceling out 4.

$$\frac{10}{189}$$

Factor

$$\frac{2 \cdot 5}{3 ^ {3} \cdot 7} = 0.05291005291005291$$