Solve 7/36-6/49

$$\frac{ 7 }{ 36 } - \frac{ 6 }{ 49 }$$

Evaluate

$$\frac{127}{1764}\approx 0.071995465$$

Solution Steps

Least common multiple of 36 and 49 is 1764. Convert \frac{7}{36} and \frac{6}{49} to fractions with denominator 1764.

$$\frac{343}{1764}-\frac{216}{1764}$$

Since \frac{343}{1764} and \frac{216}{1764} have the same denominator, subtract them by subtracting their numerators.

$$\frac{343-216}{1764}$$

Subtract 216 from 343 to get 127.

$$\frac{127}{1764}$$

Factor

$$\frac{127}{2 ^ {2} \cdot 3 ^ {2} \cdot 7 ^ {2}} = 0.07199546485260772$$