Compare 9/84 and 45/56
9/84 is smaller than 45/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 84 × 2 = 168,
9/84 = 9 × 2/84 × 2 = 18/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
45/56 = 45 × 3/56 × 3 = 135/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/168 < 135/168 or 9/84 < 45/56
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