Solve 4/4(6x-1)-5/6(6x-1)=

$$\frac { 4 } { 4 ( 6 x - 1 ) } - \frac { 5 } { 6 ( 6 x - 1 ) } =$$

Evaluate

$$\frac{1}{6\left(6x-1\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4\left(6x-1\right) and 6\left(6x-1\right) is 12\left(6x-1\right). Multiply \frac{4}{4\left(6x-1\right)} times \frac{3}{3}. Multiply \frac{5}{6\left(6x-1\right)} times \frac{2}{2}.

$$\frac{4\times 3}{12\left(6x-1\right)}-\frac{5\times 2}{12\left(6x-1\right)}$$

Since \frac{4\times 3}{12\left(6x-1\right)} and \frac{5\times 2}{12\left(6x-1\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\times 3-5\times 2}{12\left(6x-1\right)}$$

Do the multiplications in 4\times 3-5\times 2.

$$\frac{12-10}{12\left(6x-1\right)}$$

Do the calculations in 12-10.

$$\frac{2}{12\left(6x-1\right)}$$

Expand 12\left(6x-1\right).

$$\frac{2}{72x-12}$$

Expand

$$\frac{1}{6\left(6x-1\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4\left(6x-1\right) and 6\left(6x-1\right) is 12\left(6x-1\right). Multiply \frac{4}{4\left(6x-1\right)} times \frac{3}{3}. Multiply \frac{5}{6\left(6x-1\right)} times \frac{2}{2}.

$$\frac{4\times 3}{12\left(6x-1\right)}-\frac{5\times 2}{12\left(6x-1\right)}$$

Since \frac{4\times 3}{12\left(6x-1\right)} and \frac{5\times 2}{12\left(6x-1\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\times 3-5\times 2}{12\left(6x-1\right)}$$

Do the multiplications in 4\times 3-5\times 2.

$$\frac{12-10}{12\left(6x-1\right)}$$

Do the calculations in 12-10.

$$\frac{2}{12\left(6x-1\right)}$$

Expand 12\left(6x-1\right).

$$\frac{2}{72x-12}$$