Add. Find the exact sum and an estimated sum. 1 20 8 1 18 4.

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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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.
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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