Solve frac{b_{2}}{5}-5/6=

$$\frac { b _ { 2 } } { 5 } - \frac { 5 } { 6 } =$$

Evaluate

$$\frac{b_{2}}{5}-\frac{5}{6}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 6 is 30. Multiply \frac{b_{2}}{5} times \frac{6}{6}. Multiply \frac{5}{6} times \frac{5}{5}.

$$\frac{6b_{2}}{30}-\frac{5\times 5}{30}$$

Since \frac{6b_{2}}{30} and \frac{5\times 5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6b_{2}-5\times 5}{30}$$

Do the multiplications in 6b_{2}-5\times 5.

$$\frac{6b_{2}-25}{30}$$

Factor

$$\frac{6b_{2}-25}{30}$$

Solution Steps

Factor out \frac{1}{30}.

$$\frac{6b_{2}-25}{30}$$