Solve 2/25/frac{13{9}-2/7}

$$\frac { \frac { 2 } { 25 } } { \frac { 13 } { 9 } - \frac { 2 } { 7 } }$$

Evaluate

$$\frac{126}{1825}\approx 0.069041096$$

Solution Steps

Least common multiple of 9 and 7 is 63. Convert \frac{13}{9} and \frac{2}{7} to fractions with denominator 63.

$$\frac{\frac{2}{25}}{\frac{91}{63}-\frac{18}{63}}$$

Since \frac{91}{63} and \frac{18}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2}{25}}{\frac{91-18}{63}}$$

Subtract 18 from 91 to get 73.

$$\frac{\frac{2}{25}}{\frac{73}{63}}$$

Divide \frac{2}{25} by \frac{73}{63} by multiplying \frac{2}{25} by the reciprocal of \frac{73}{63}.

$$\frac{2}{25}\times \frac{63}{73}$$

Multiply \frac{2}{25} times \frac{63}{73} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 63}{25\times 73}$$

Do the multiplications in the fraction \frac{2\times 63}{25\times 73}.

$$\frac{126}{1825}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 7}{5 ^ {2} \cdot 73} = 0.06904109589041096$$