Answer:
9 3/4
Step-by-step explanation:
Strategy: first cancel the fraction part of the mixed number, then subtract the remaining fraction from the integer obtained.
10 1/2 - 3/4 = 10 1/2 - 1/2 - 1/4
= 10 -1/4
= 9 3/4
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Strategy: turn the subtracted fraction into a whole number by adding 1/4 to both parts of the problem, then subtract the whole number.
10 1/2 - 3/4 = (10 1/2 +1/4) -(3/4 +1/4)
= 10 3/4 -1
= 9 3/4
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We assume that you know that 1/2 + 1/4 = 3/4, or 3/4 -1/2 = 1/4. If you need to, you can get there by using the equivalent: 1/2 = 2/4.