COMPARE FRACTIONS

PROBLEMS

Do the problem yourself first!

1.  Same numerator; same denominator.  Arrange these numbers
1.  from smallest to largest.

 1.   a) 14 12 13 16 15 16 15 14 13 12
 1.   b) 29 27 2 10 23 25 2 10 29 27 25 23
 1.   c) 8 12 4 12 2 12 1112 1 12 1 12 2 12 4 12 8 12 1112
 1.   d) 45 37 35 37 35 45 e) 48 58 49 49 48 58
 2.   a) If you multiply the numerator of a fraction, and do not change the denominator, what will happen to the size of the fraction? It will become larger. b) If you multiply the denominator, and do not change the numerator, what will happen to the size of the fraction? It will become smaller.
 c) If you multiply both the numerator and denominator by the same number, what will happen to the size of the fraction? It will not change. It will have the same value. The change in the denominator (taking more equal parts of 1) will balance the change in the numerator (taking a greater number of those parts). The two fractions will be equivalent.

3.  For each pair of fractions, write

1.  1)  the lowest common multiple (LCM) of the denominators,

1.  2)  a pair of equivalent fractions with a common denominator,

1.  3)  the larger fraction.

   LCM Equivalent pair  Larger 2.   a) 12 7 16 16 8 16 7 16 12 2.   b) 9 32 14 32 9 32 8 32 9 32 2.   c) 13 5 12 12 4 12 5 12 5 12 2.   d) 4 15 25 15 4 15 6 15 25 2.   e) 56 79 18 1518 1418 56 2.   f) 38 5 12 24 9 24 1024 5 12 2.   g) 7 10 1115 30 2130 2230 1115 2.   h) 23 34 12 8 12 9 12 34 2.   i) 49 5 11 99 4499 4599 5 11

Continue on to the Section 2.

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