Compare 2/30 and 15/48
2/30 is smaller than 15/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
2/30 = 2 × 8/30 × 8 = 16/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
15/48 = 15 × 5/48 × 5 = 75/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/240 < 75/240 or 2/30 < 15/48
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