Answer:
3/8 + 1/4 < 1
Check: Find common denominators, what you do to the denominator, you do to the numerator. Multiply 2 to both the top and bottom of the fraction:
(1/4)(2/2) = 2/8
3/8 + 2/8 < 1
5/8 < 1
5/8 < 8/8 (True).
Any fraction works in the second one, for regardless, you will get less than a whole number, so solve the third one first.
The 2 fractions needed will have to be greater than 1. 1/4 has already been used, so find two pairs of fractions that will, when added, be greater than 1.
(7/8 + 3/4)
Find common denominators, what you do to the denominator, you must do to the numerator:
(7/8)(2/2) + (3/4)(4/4) = (14/16) + (12/16) = 26/16
26/16 > 1 (True).
Finally, the last one will be 2/3.
2/3 - 1/8 < 1
Find common denominators, what you do to the denominator, you must do to the numerator:
(2/3)(8/8) - (1/8)(3/3) < 1
16/24 - 3/24 < 1
13/24 < 1 (True).
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