Tucker Peterson
08/18/2024 · Primary School
Subtract. \[ \frac{-9}{4 u^{2} w}-\frac{7}{6 u w^{2}} \]
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( \frac{-9}{4 u^{2} w}-\frac{7}{6 u w^{2}} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{-9}{4u^{2}w}-\frac{7}{6uw^{2}}\)
- step1: Calculate:
\(-\frac{9}{4u^{2}w}-\frac{7}{6uw^{2}}\)
- step2: Reduce fractions to a common denominator:
\(-\frac{9\times 3w}{4u^{2}w\times 3w}-\frac{7\times 2u}{6uw^{2}\times 2u}\)
- step3: Calculate:
\(-\frac{27w}{12u^{2}w^{2}}-\frac{14u}{12u^{2}w^{2}}\)
- step4: Transform the expression:
\(\frac{-27w-14u}{12u^{2}w^{2}}\)
- step5: Rewrite the expression:
\(-\frac{27w+14u}{12u^{2}w^{2}}\)
The result of subtracting \(\frac{-9}{4 u^{2} w}-\frac{7}{6 u w^{2}}\) is \(-\frac{27w+14u}{12u^{2}w^{2}}\).
Quick Answer
The result is \(-\frac{27w+14u}{12u^{2}w^{2}}\).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit