Compare 7/18 and 48/84
7/18 is smaller than 48/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 18 × 14 = 252,
7/18 = 7 × 14/18 × 14 = 98/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
48/84 = 48 × 3/84 × 3 = 144/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/252 < 144/252 or 7/18 < 48/84
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