Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \frac{66}{48} = 1.375 \)
Solution
To convert the fraction \( \frac{66}{48} \) to a decimal, you can perform the division of the numerator by the denominator:
\[
66 \div 48 = 1.375
\]
**Step-by-Step Calculation:**
1. **Divide 66 by 48:**
\[
48 \)66.000
\]
2. **Calculate how many times 48 fits into 66:**
- 48 fits into 66 once (\(1 \times 48 = 48\)).
- Subtract 48 from 66: \(66 - 48 = 18\).
3. **Bring down a zero, making it 180:**
- Determine how many times 48 fits into 180.
- 48 fits into 180 three times (\(3 \times 48 = 144\)).
- Subtract 144 from 180: \(180 - 144 = 36\).
4. **Bring down another zero, making it 360:**
- Determine how many times 48 fits into 360.
- 48 fits into 360 seven times (\(7 \times 48 = 336\)).
- Subtract 336 from 360: \(360 - 336 = 24\).
5. **Bring down the final zero, making it 240:**
- Determine how many times 48 fits into 240.
- 48 fits into 240 five times (\(5 \times 48 = 240\)).
- Subtract 240 from 240: \(240 - 240 = 0\).
Since there's no remainder left, the division is complete.
\[
\frac{66}{48} = 1.375
\]
**Final Answer:**
\[
\frac{66}{48} = 1.375
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To convert \( \frac{66}{48} \) to a decimal, you can divide 66 by 48. When you do the division, \( 66 ÷ 48 = 1.375 \). So, the decimal representation of \( \frac{66}{48} \) is \( 1.375 \). If you want to simplify \( \frac{66}{48} \) first, you can divide both the numerator and the denominator by their greatest common divisor, which is 6. This gives you \( \frac{11}{8} \), and dividing 11 by 8 also results in \( 1.375 \).
