Compare 1/28 and 45/90
1/28 is smaller than 45/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
1/28 = 1 × 45/28 × 45 = 45/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
45/90 = 45 × 14/90 × 14 = 630/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/1260 < 630/1260 or 1/28 < 45/90
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