Fraction Word Problems - Sample Math Practice Problems
The math problems below can be generated by , a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page.
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Complexity=4, Mode=simple Solve. Give the answer in simplest form.
You might expect 10 ÷ 5 is the same as 10/5 is the same as 10 over a 5 with a vinculum between them, but each has its own eccentricities. We’ve already noted that ÷ can mean “divide the number on the left by the number on the right” or “divide the expression on the left by the expression on the right.” But it gets really tricky when people assume that a slash replaces a vinculum. Does ab/cd = (ab)÷(cd) or ((ab)÷c)÷d? Does a/b/c mean (a)÷(b)÷(c) or a÷(b/c) or (a/b)÷c? (Answer: Use some parentheses!)
On April 27th, 2011, Redditor and math professor rob1n posted an image macro to the /r/ WTF subreddit  featuring a screenshot of a Facebook poll debating the answer to variation of this equation, 6÷2(1+2), which results in the answers of 1 or 9. Within two days, it received more than 1,200 comments, gaining more than 2,500 upvotes and 786 points overall. Throughout April and May, this equation was discussed on Yahoo! Answers  , IGN  the Wolfram Alpha Community Forum  , and the Penny Arcade forum.  The equation saw a resurgence in early 2013, resulting in discussions on Snopes  and Slate  , who investigated why people get so worked up over the differing answers.