Question

subtract.
\\(\frac{5}{3d} - \frac{4}{7d}\\)
simplify your answer as much as possible.

Explanation:

Step1: Find common denominator

The least common denominator of $3d$ and $7d$ is $21d$.

Step2: Rewrite fractions with LCD

$$\frac{5}{3d} = \frac{5 \times 7}{3d \times 7} = \frac{35}{21d}, \quad \frac{4}{7d} = \frac{4 \times 3}{7d \times 3} = \frac{12}{21d}$$

Step3: Subtract the fractions

$$\frac{35}{21d} - \frac{12}{21d} = \frac{35 - 12}{21d}$$

Step4: Simplify numerator

$$35 - 12 = 23$$

Answer:

$\frac{23}{21d}$