Compare 3/24 and 30/48
3/24 is smaller than 30/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 48 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 24 × 2 = 48,
3/24 = 3 × 2/24 × 2 = 6/48 - Likewise, for the 2nd fraction, since 48 × 1 = 48,
30/48 = 30 × 1/48 × 1 = 30/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/48 < 30/48 or 3/24 < 30/48
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