Question
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Tutor-Verified Answer
Answer
\( \frac{2}{3} - \frac{1}{2} = \frac{1}{6} \)
Solution
To solve the subtraction of the two fractions \( \frac{2}{3} - \frac{1}{2} \), follow these steps:
1. **Find a Common Denominator:**
The denominators of the fractions are 3 and 2. The least common denominator (LCD) of 3 and 2 is **6**.
2. **Convert Each Fraction to Have the LCD:**
- **For \( \frac{2}{3} \):**
\[
\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
\]
- **For \( \frac{1}{2} \):**
\[
\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}
\]
3. **Subtract the Numerators:**
Now that both fractions have the same denominator, subtract the numerators:
\[
\frac{4}{6} - \frac{3}{6} = \frac{4 - 3}{6} = \frac{1}{6}
\]
4. **Final Answer:**
\[
\frac{2}{3} - \frac{1}{2} = \frac{1}{6}
\]
So, \( \frac{2}{3} - \frac{1}{2} = \frac{1}{6} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To solve \( \frac{2}{3}-\frac{1}{2} \), you'll first want to find a common denominator. The least common multiple (LCM) of 3 and 2 is 6. Now convert each fraction: \( \frac{2}{3} = \frac{4}{6} \) and \( \frac{1}{2} = \frac{3}{6} \). Next, subtract the two: \( \frac{4}{6} - \frac{3}{6} = \frac{1}{6} \). So, the answer is \( \frac{1}{6} \)! If you're ever confused by fractions, visualizing them with pie charts or bar models can spark joy! This way, instead of seeing abstract numbers, you can view how each piece fits together. It makes subtracting and adding fractions a slice of cake—pun intended!
