Question
Find the sum or difference. 1) \( \frac{15}{4 x}+\frac{5}{4 x} \)
Ask by Nguyen Boyd. in the United States
Feb 02,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The sum is \( \frac{5}{x} \).
Solution
Calculate or simplify the expression \( \frac{15}{4x}+\frac{5}{4x} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{15}{4x}+\frac{5}{4x}\)
- step1: Transform the expression:
\(\frac{15+5}{4x}\)
- step2: Add the numbers:
\(\frac{20}{4x}\)
- step3: Reduce the fraction:
\(\frac{5}{x}\)
The sum or difference of \( \frac{15}{4x}+\frac{5}{4x} \) is \( \frac{5}{x} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution
Mind Expander
To add the two fractions, simply combine the numerators since they have the same denominator. So, \( \frac{15}{4 x} + \frac{5}{4 x} = \frac{15 + 5}{4 x} = \frac{20}{4 x} \). Now, simplify \( \frac{20}{4 x} \) to get \( \frac{5}{x} \). The final answer is \( \frac{5}{x} \).