Question
Simplify the following fractions. (4 pts. each) 3. \( \frac{8}{20} \) 4. \( -\frac{12}{44} \)
Ask by Simpson Bob. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \frac{8}{20} = \frac{2}{5} \) and \( -\frac{12}{44} = -\frac{3}{11} \).
Solution
Calculate the value by following steps:
- step0: Calculate:
\(\frac{8}{20}\)
- step1: Reduce the fraction:
\(\frac{2}{5}\)
Calculate or simplify the expression \( -12/44 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{-12}{44}\)
- step1: Reduce the fraction:
\(\frac{-3}{11}\)
- step2: Rewrite the fraction:
\(-\frac{3}{11}\)
Let's simplify the given fractions step by step.
### 3. Simplifying \( \frac{8}{20} \)
To simplify \( \frac{8}{20} \):
1. Find the greatest common divisor (GCD) of 8 and 20, which is 4.
2. Divide both the numerator and the denominator by their GCD:
\[
\frac{8 \div 4}{20 \div 4} = \frac{2}{5}
\]
So, the simplified form of \( \frac{8}{20} \) is \( \frac{2}{5} \).
### 4. Simplifying \( -\frac{12}{44} \)
To simplify \( -\frac{12}{44} \):
1. Find the GCD of 12 and 44, which is 4.
2. Divide both the numerator and the denominator by their GCD:
\[
-\frac{12 \div 4}{44 \div 4} = -\frac{3}{11}
\]
So, the simplified form of \( -\frac{12}{44} \) is \( -\frac{3}{11} \).
### Final Answers:
- \( \frac{8}{20} = \frac{2}{5} \)
- \( -\frac{12}{44} = -\frac{3}{11} \)
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To simplify \( \frac{8}{20} \), you can divide both the numerator and denominator by their greatest common divisor, which is 4. This gives you \( \frac{8 \div 4}{20 \div 4} = \frac{2}{5} \). For \( -\frac{12}{44} \), similarly, divide both parts by their greatest common divisor, which is 4. This simplifies to \( -\frac{12 \div 4}{44 \div 4} = -\frac{3}{11} \).
