Compare 2/45 and 21/24
2/45 is smaller than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 24 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
2/45 = 2 × 8/45 × 8 = 16/360 - Likewise, for the 2nd fraction, since 24 × 15 = 360,
21/24 = 21 × 15/24 × 15 = 315/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/360 < 315/360 or 2/45 < 21/24
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