Compare 1/60 and 45/21
1st number: 1/60, 2nd number: 2 3/21
1/60 is smaller than 45/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 21 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
1/60 = 1 × 7/60 × 7 = 7/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
45/21 = 45 × 20/21 × 20 = 900/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/420 < 900/420 or 1/60 < 45/21
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