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

Question

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

Explanation:

Step1: Find common denominator

The least common denominator of 4 and $3d$ is $12d$.

Step2: Rewrite fractions with LCD

$$\frac{5}{4} = \frac{5 \times 3d}{12d} = \frac{15d}{12d}, \quad \frac{7}{3d} = \frac{7 \times 4}{12d} = \frac{28}{12d}$$

Step3: Subtract the fractions

$$\frac{15d}{12d} - \frac{28}{12d} = \frac{15d - 28}{12d}$$

Answer:

$\frac{15d - 28}{12d}$