Compare 21/30 and 60/80
21/30 is smaller than 60/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 80 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
21/30 = 21 × 8/30 × 8 = 168/240 - Likewise, for the 2nd fraction, since 80 × 3 = 240,
60/80 = 60 × 3/80 × 3 = 180/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/240 < 180/240 or 21/30 < 60/80
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