Compare 1/28 and 45/49
1/28 is smaller than 45/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 28 × 7 = 196,
1/28 = 1 × 7/28 × 7 = 7/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
45/49 = 45 × 4/49 × 4 = 180/196 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/196 < 180/196 or 1/28 < 45/49
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