Compare 9/28 and 30/45
9/28 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
9/28 = 9 × 45/28 × 45 = 405/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
30/45 = 30 × 28/45 × 28 = 840/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/1260 < 840/1260 or 9/28 < 30/45
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