Compare 7/24 and 20/49
7/24 is smaller than 20/49
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,
7/24 = 7 × 49/24 × 49 = 343/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
20/49 = 20 × 24/49 × 24 = 480/1176 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/1176 < 480/1176 or 7/24 < 20/49
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