Question
25 - Find the difference. \[ 3 \frac{1}{7}-\frac{2}{7}= \] a) \( 26 / 14 \) \( 36 / 7 \) \( 26 / 7 \) \( 22 / 7 \)
Ask by Schneider Ramirez. in Saudi Arabia
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The difference is \( \frac{20}{7} \), which is not among the given options.
Solution
To find the difference \( 3 \frac{1}{7} - \frac{2}{7} \), we can follow these steps:
1. **Convert the mixed number to an improper fraction**:
\[
3 \frac{1}{7} = \frac{3 \times 7 + 1}{7} = \frac{21 + 1}{7} = \frac{22}{7}
\]
2. **Subtract the fractions**:
\[
\frac{22}{7} - \frac{2}{7} = \frac{22 - 2}{7} = \frac{20}{7}
\]
Now, let's check the options provided:
- a) \( \frac{26}{14} \)
- b) \( \frac{36}{7} \)
- c) \( \frac{26}{7} \)
- d) \( \frac{22}{7} \)
The result we calculated is \( \frac{20}{7} \), which is not listed among the options.
Let's double-check the calculations to ensure accuracy:
1. **Convert \( 3 \frac{1}{7} \) to an improper fraction**:
\[
3 \frac{1}{7} = \frac{22}{7}
\]
2. **Perform the subtraction**:
\[
\frac{22}{7} - \frac{2}{7} = \frac{20}{7}
\]
The calculations are correct, and the answer is indeed \( \frac{20}{7} \).
Since none of the options match \( \frac{20}{7} \), it appears there may be an error in the options provided.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To solve this, first convert the mixed number \(3 \frac{1}{7}\) into an improper fraction. This gives us: \[ 3 \frac{1}{7} = \frac{3 \times 7 + 1}{7} = \frac{21 + 1}{7} = \frac{22}{7} \] Now, subtract \(\frac{2}{7}\): \[ \frac{22}{7} - \frac{2}{7} = \frac{22 - 2}{7} = \frac{20}{7} \] However, none of the answer choices you provided matches this. Let's double-check our steps! Revisiting the subtraction, we should confirm we’re interpreting the original question and options correctly. It’s good practice to keep an eye out for details in problems like these!
