Compare 10/24 and 35/49
10/24 is smaller than 35/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 49 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 24 × 49 = 1176,
10/24 = 10 × 49/24 × 49 = 490/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
35/49 = 35 × 24/49 × 24 = 840/1176 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/1176 < 840/1176 or 10/24 < 35/49
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