Solve 4/3y-5/4y

$$\frac { 4 } { 3 y } - \frac { 5 } { 4 y }$$

Evaluate

$$\frac{1}{12y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3y and 4y is 12y. Multiply \frac{4}{3y} times \frac{4}{4}. Multiply \frac{5}{4y} times \frac{3}{3}.

$$\frac{4\times 4}{12y}-\frac{5\times 3}{12y}$$

Since \frac{4\times 4}{12y} and \frac{5\times 3}{12y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\times 4-5\times 3}{12y}$$

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

$$\frac{16-15}{12y}$$

Do the calculations in 16-15.

$$\frac{1}{12y}$$

Differentiate w.r.t. y

$$-\frac{1}{12y^{2}}$$