Compare 10/49 and 20/70
10/49 is smaller than 20/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 70 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 49 × 10 = 490,
10/49 = 10 × 10/49 × 10 = 100/490 - Likewise, for the 2nd fraction, since 70 × 7 = 490,
20/70 = 20 × 7/70 × 7 = 140/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/490 < 140/490 or 10/49 < 20/70
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