Compare 21/45 and 24/7
1st number: 21/45, 2nd number: 3 3/7
21/45 is smaller than 24/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
24/7 = 24 × 45/7 × 45 = 1080/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/315 < 1080/315 or 21/45 < 24/7
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