Question
onvert each improper fraction to a mixed number: \( \frac{15}{7} \)
Ask by Malone Henry. in the United States
Dec 04,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \frac{15}{7} = 2 \frac{1}{7} \)
Solution
To convert the improper fraction \( \frac{15}{7} \) to a mixed number, follow these steps:
1. Divide the numerator (15) by the denominator (7).
2. The whole number part is the quotient of the division.
3. The remainder will be the new numerator of the fractional part.
Performing the division:
- \( 15 \div 7 = 2 \) (whole number part)
- The remainder is \( 15 - (7 \times 2) = 15 - 14 = 1 \).
So, the mixed number is:
\[
2 \frac{1}{7}
\]
Thus, \( \frac{15}{7} \) as a mixed number is \( 2 \frac{1}{7} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To convert the improper fraction \( \frac{15}{7} \) to a mixed number, you divide the numerator (15) by the denominator (7). Doing the math, 15 divided by 7 equals 2 with a remainder of 1. So, you can express this as \( 2 \frac{1}{7} \). Voilà! Mixed numbers are not just for fractions; they’re a handy way to express quantities in measurements too! For example, when baking, if you need 2 \( \frac{1}{7} \) cups of flour, it’s easier to visualize than simply saying approximately 2.14 cups. It just makes kitchen adventures more fun!
