Compare 3/10 and 15/30
3/10 is smaller than 15/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 30 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 10 × 3 = 30,
3/10 = 3 × 3/10 × 3 = 9/30 - Likewise, for the 2nd fraction, since 30 × 1 = 30,
15/30 = 15 × 1/30 × 1 = 15/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/30 < 15/30 or 3/10 < 15/30
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