Question
3. Basir took a science test on Friday. One-eighth of the questions were multiple choice, and \( \frac{3}{4} \) of the questions were true-false questions. What part of the total number of questions were either multiple choice or true-false questions?
Ask by Black Franklin. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
7/8 of the questions were either multiple choice or true-false.
Solution
To find the fraction of questions that were either multiple choice or true-false, add the fraction of multiple choice questions (1/8) to the fraction of true-false questions (3/4).
Since 3/4 is equivalent to 6/8, we have:
1/8 + 6/8 = 7/8.
Thus, 7/8 of the questions were either multiple choice or true-false.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
Let's break down the problem. If one-eighth of the questions were multiple choice, that's \( \frac{1}{8} \). The true-false questions make up \( \frac{3}{4} \) or \( \frac{6}{8} \) when converted to eighths. Now, add these two fractions together: \[ \frac{1}{8} + \frac{6}{8} = \frac{7}{8} \] So, \( \frac{7}{8} \) of the total number of questions were either multiple choice or true-false questions. To confirm this, let’s consider what this means: with just one-eighth for multiple choice and a whopping three-quarters for true-false, you almost have the entire test covered! Only one-eighth of the questions are left for other types.
