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simplify. express your answer as \\(\frac{wx}{5} - \frac{3x}{4}\\)

Question

simplify. express your answer as
\\(\frac{wx}{5} - \frac{3x}{4}\\)

Explanation:

Step1: Find common denominator

The denominators are 5 and 4, so the common denominator is \( 5\times4 = 20 \).
Rewrite each fraction with denominator 20:
\( \frac{wx}{5}=\frac{wx\times4}{5\times4}=\frac{4wx}{20} \)
\( \frac{3x}{4}=\frac{3x\times5}{4\times5}=\frac{15x}{20} \)

Step2: Subtract the fractions

Now subtract the two fractions:
\( \frac{4wx}{20}-\frac{15x}{20}=\frac{4wx - 15x}{20} \)
Factor out \( x \) from the numerator:
\( \frac{x(4w - 15)}{20} \)

Answer:

\( \frac{x(4w - 15)}{20} \)