Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![The problem requires adding the mixed numbers and finding both the exact and estimated sums.
**Problem:**
"Add. Find the exact sum and an estimated sum."
\[
\begin{array}{c}
20 \frac{1}{8} \\
+ 18 \frac{1}{4} \\
\hline
\end{array}
\]
**Steps for Solution:**
1. **Exact Sum:**
- Convert the fractions to have a common denominator.
- \(\frac{1}{8}\) and \(\frac{1}{4}\) need to be combined.
- \(\frac{1}{4}\) can be expressed as \(\frac{2}{8}\).
- Add the fractions: \(\frac{1}{8} + \frac{2}{8} = \frac{3}{8}\).
- Add the whole numbers: \(20 + 18 = 38\).
- Combine the whole number and the fraction: \(38 \frac{3}{8}\).
2. **Estimated Sum:**
- Round each mixed number to the nearest whole number.
- \(20 \frac{1}{8}\) is approximately 20.
- \(18 \frac{1}{4}\) is approximately 18.
- Estimated sum: \(20 + 18 = 38\).
In summary, the exact sum is \(38 \frac{3}{8}\), and the estimated sum is 38.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F974404e3-d78b-4ed1-b229-8d40c1b378ea%2F7bfa2527-7344-46b8-b229-a652a257b51d%2Fvun91gf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The problem requires adding the mixed numbers and finding both the exact and estimated sums.
**Problem:**
"Add. Find the exact sum and an estimated sum."
\[
\begin{array}{c}
20 \frac{1}{8} \\
+ 18 \frac{1}{4} \\
\hline
\end{array}
\]
**Steps for Solution:**
1. **Exact Sum:**
- Convert the fractions to have a common denominator.
- \(\frac{1}{8}\) and \(\frac{1}{4}\) need to be combined.
- \(\frac{1}{4}\) can be expressed as \(\frac{2}{8}\).
- Add the fractions: \(\frac{1}{8} + \frac{2}{8} = \frac{3}{8}\).
- Add the whole numbers: \(20 + 18 = 38\).
- Combine the whole number and the fraction: \(38 \frac{3}{8}\).
2. **Estimated Sum:**
- Round each mixed number to the nearest whole number.
- \(20 \frac{1}{8}\) is approximately 20.
- \(18 \frac{1}{4}\) is approximately 18.
- Estimated sum: \(20 + 18 = 38\).
In summary, the exact sum is \(38 \frac{3}{8}\), and the estimated sum is 38.
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