Question
Subtract: \( \frac{7}{8}-\frac{13}{20} \) Give your answer in reduced terms.
Ask by Patel Peters. in the United States
Jan 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(\frac{9}{40}\)
Solution
To subtract the fractions \(\frac{7}{8}\) and \(\frac{13}{20}\), follow these steps:
1. **Find a Common Denominator:**
- The least common multiple (LCM) of 8 and 20 is 40.
2. **Convert Both Fractions:**
- \(\frac{7}{8} = \frac{7 \times 5}{8 \times 5} = \frac{35}{40}\)
- \(\frac{13}{20} = \frac{13 \times 2}{20 \times 2} = \frac{26}{40}\)
3. **Subtract the Numerators:**
- \(\frac{35}{40} - \frac{26}{40} = \frac{9}{40}\)
4. **Simplify the Result (if possible):**
- The fraction \(\frac{9}{40}\) is already in its simplest form.
**Final Answer:** \(\boxed{\dfrac{9}{40}}\)
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Simplify this solution Mind Expander
To subtract \( \frac{7}{8} - \frac{13}{20} \), we need a common denominator. The least common multiple of 8 and 20 is 40. Now, we convert both fractions: \[ \frac{7}{8} = \frac{7 \times 5}{8 \times 5} = \frac{35}{40} \] \[ \frac{13}{20} = \frac{13 \times 2}{20 \times 2} = \frac{26}{40} \] Now we can subtract: \[ \frac{35}{40} - \frac{26}{40} = \frac{35 - 26}{40} = \frac{9}{40} \] The answer in reduced terms is \( \frac{9}{40} \).
