Compare 4/9 and 30/48
4/9 is smaller than 30/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 48 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
4/9 = 4 × 16/9 × 16 = 64/144 - Likewise, for the 2nd fraction, since 48 × 3 = 144,
30/48 = 30 × 3/48 × 3 = 90/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/144 < 90/144 or 4/9 < 30/48
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