Question
Add. \( 21 \frac{3}{4}+6 \frac{3}{4} \) Enter your answer as a \( m \)
Ask by Schwartz Brooks. in the United States
Feb 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is 28 1/2.
Solution
To add the mixed numbers, start by adding the whole numbers and then add the fractional parts:
1. Add the whole numbers: 21 + 6 = 27.
2. Add the fractions: 3/4 + 3/4 = 6/4, which simplifies to 1 and 2/4. The fraction 2/4 simplifies further to 1/2.
3. Now, add the extra whole number from the fraction: 27 + 1 = 28.
4. The final mixed number is 28 and 1/2.
Thus, the answer is 28 1/2.
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Simplify this solution The Deep Dive
To add \( 21 \frac{3}{4} + 6 \frac{3}{4} \), first convert the mixed numbers to improper fractions: \( 21 \frac{3}{4} = \frac{21 \times 4 + 3}{4} = \frac{84 + 3}{4} = \frac{87}{4} \) \( 6 \frac{3}{4} = \frac{6 \times 4 + 3}{4} = \frac{24 + 3}{4} = \frac{27}{4} \) Now, add the two improper fractions: \( \frac{87}{4} + \frac{27}{4} = \frac{87 + 27}{4} = \frac{114}{4} = \frac{57}{2} \) Convert back to a mixed number: \( \frac{57}{2} = 28 \frac{1}{2} \) So, the answer is \( 28 \frac{1}{2} \).
