Compare 10/35 and 20/49
10/35 is smaller than 20/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
10/35 = 10 × 7/35 × 7 = 70/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
20/49 = 20 × 5/49 × 5 = 100/245 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/245 < 100/245 or 10/35 < 20/49
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