Answer:
C. 1 3/4 - (a fraction less than 3/4)
Step-by-step explanation:
Your number sense should be able to help you with this one.
A. 5 × 1/10 = 1/2, not a number greater than 1
B. 4/9 + 1/3 = 7/9, not a number greater than 1
C. 1 3/4 -1/2 = 1 1/4, a number greater than 1 (see below for more explanation)
D. 7/8 × 1/2 = 7/16, not a number greater than 1.
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<em>More explanation</em>
Let x represent a number less than 3/4. Then we want to make sure that ...
y = 1 3/4 - x
will be greater than 1.
Solving for x, we get ...
x = 1 3/4 - y
Applying the requirement that x < 3/4, we have ...
x < 3/4
(1 3/4 -y) < 3/4
1 3/4 < y + 3/4 . . . . . . add y
1 < y . . . . . . . . . . . . . . .subtract 3/4
We see that the condition on x makes sure that y is always greater than 1.
