Compare 3/21 and 35/60
3/21 is smaller than 35/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 21 × 20 = 420,
3/21 = 3 × 20/21 × 20 = 60/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
35/60 = 35 × 7/60 × 7 = 245/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/420 < 245/420 or 3/21 < 35/60
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