Compare 10/35 and 48/84
10/35 is smaller than 48/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
10/35 = 10 × 12/35 × 12 = 120/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
48/84 = 48 × 5/84 × 5 = 240/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/420 < 240/420 or 10/35 < 48/84
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