Question
QUESTION 5 Convert the improper fraction to a mixed number: \( \frac{81}{8} \) Leave a space between the whole number and fraction. QUESTION 6
Ask by Newton Sanders. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \frac{81}{8} \) as a mixed number is \( 10 \frac{1}{8} \).
Solution
Solve the equation by following steps:
- step0: Solve for \(y\):
\(81=8x+y\)
- step1: Swap the sides:
\(8x+y=81\)
- step2: Move the expression to the right side:
\(y=81-8x\)
To convert the improper fraction \( \frac{81}{8} \) to a mixed number, we follow these steps:
1. **Divide the numerator by the denominator**:
- Here, we divide \( 81 \) by \( 8 \).
2. **Calculate the whole number**:
- The whole number part is the integer result of the division.
3. **Calculate the remainder**:
- The remainder will be the part of the fraction.
4. **Form the mixed number**:
- Combine the whole number and the fraction formed by the remainder over the original denominator.
Let's perform the calculations:
1. **Division**:
\[
81 \div 8 = 10 \quad \text{(whole number)}
\]
The remainder can be calculated as:
\[
81 - (10 \times 8) = 81 - 80 = 1
\]
2. **Mixed Number**:
- The mixed number is \( 10 \frac{1}{8} \).
Thus, the improper fraction \( \frac{81}{8} \) as a mixed number is:
\[
10 \frac{1}{8}
\]
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Simplify this solution Extra Insights
When you convert the improper fraction \( \frac{81}{8} \) to a mixed number, you divide the numerator by the denominator. Dividing 81 by 8 gives you 10 with a remainder of 1. So the mixed number is \( 10 \frac{1}{8} \). This process of converting is super handy! Whether you’re cooking, measuring lumber, or anything that involves fractions, knowing how to switch between improper and mixed numbers helps you represent quantities more understandably. So next time you need to measure out something, you’ll be the fraction pro!
