Question
Jordan is moving grain from one shed to another. He moves \( \frac{1}{4} \) of the grain on Saturday and he moves \( \frac{5}{8} \) of the grain on Sunday. Complete the sentences to estimate the fraction of grain moved by Jordan and to find the fraction of grain left to be moved. Jordan moved half. After Saturday and Sunday, he still needs to move
Ask by Vaughn Erickson. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Jordan moved \(\frac{7}{8}\) of the grain. After Saturday and Sunday, he still needs to move \(\frac{1}{8}\) of the grain.
Solution
Jordan moved \(\frac{1}{4}\) of the grain on Saturday and \(\frac{5}{8}\) on Sunday.
1. First, we add the fractions:
\[
\frac{1}{4} + \frac{5}{8}
\]
To add them, convert \(\frac{1}{4}\) to eighths:
\[
\frac{1}{4} = \frac{2}{8}
\]
Now add:
\[
\frac{2}{8} + \frac{5}{8} = \frac{7}{8}
\]
2. So, Jordan moved \(\frac{7}{8}\) of the grain.
3. To find the fraction of grain left, subtract the moved fraction from 1:
\[
1 - \frac{7}{8} = \frac{1}{8}
\]
Jordan moved \(\frac{7}{8}\) of the grain.
After Saturday and Sunday, he still needs to move \(\frac{1}{8}\) of the grain.
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The Deep Dive
Jordan moved a combined \( \frac{1}{4} + \frac{5}{8} = \frac{2}{8} + \frac{5}{8} = \frac{7}{8} \) of the grain over the weekend, which is more than half. After Saturday and Sunday, he still needs to move \( 1 - \frac{7}{8} = \frac{1}{8} \) of the grain. So, he has just a tiny bit left to go!