Compare 7/48 and 30/84
7/48 is smaller than 30/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 84 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 48 × 7 = 336,
7/48 = 7 × 7/48 × 7 = 49/336 - Likewise, for the 2nd fraction, since 84 × 4 = 336,
30/84 = 30 × 4/84 × 4 = 120/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/336 < 120/336 or 7/48 < 30/84
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