Solve 5/18div7/12*2/25

$$\frac { 5 } { 18 } \div \frac { 7 } { 12 } \times \frac { 2 } { 25 }$$

Evaluate

$$\frac{4}{105}\approx 0.038095238$$

Solution Steps

Divide \frac{5}{18} by \frac{7}{12} by multiplying \frac{5}{18} by the reciprocal of \frac{7}{12}.

$$\frac{5}{18}\times \frac{12}{7}\times \frac{2}{25}$$

Multiply \frac{5}{18} times \frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 12}{18\times 7}\times \frac{2}{25}$$

Do the multiplications in the fraction \frac{5\times 12}{18\times 7}.

$$\frac{60}{126}\times \frac{2}{25}$$

Reduce the fraction \frac{60}{126} to lowest terms by extracting and canceling out 6.

$$\frac{10}{21}\times \frac{2}{25}$$

Multiply \frac{10}{21} times \frac{2}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 2}{21\times 25}$$

Do the multiplications in the fraction \frac{10\times 2}{21\times 25}.

$$\frac{20}{525}$$

Reduce the fraction \frac{20}{525} to lowest terms by extracting and canceling out 5.

$$\frac{4}{105}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5 \cdot 7} = 0.0380952380952381$$