Solve 7/15div14/45*3/14=

$$\frac { 7 } { 15 } \div \frac { 14 } { 45 } \times \frac { 3 } { 14 } =$$

Evaluate

$$\frac{9}{28}\approx 0.321428571$$

Solution Steps

Divide \frac{7}{15} by \frac{14}{45} by multiplying \frac{7}{15} by the reciprocal of \frac{14}{45}.

$$\frac{7}{15}\times \frac{45}{14}\times \frac{3}{14}$$

Multiply \frac{7}{15} times \frac{45}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 45}{15\times 14}\times \frac{3}{14}$$

Do the multiplications in the fraction \frac{7\times 45}{15\times 14}.

$$\frac{315}{210}\times \frac{3}{14}$$

Reduce the fraction \frac{315}{210} to lowest terms by extracting and canceling out 105.

$$\frac{3}{2}\times \frac{3}{14}$$

Multiply \frac{3}{2} times \frac{3}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{2\times 14}$$

Do the multiplications in the fraction \frac{3\times 3}{2\times 14}.

$$\frac{9}{28}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 7} = 0.32142857142857145$$