Compare 9/49 and 10/20
9/49 is smaller than 10/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 20 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 49 × 20 = 980,
9/49 = 9 × 20/49 × 20 = 180/980 - Likewise, for the 2nd fraction, since 20 × 49 = 980,
10/20 = 10 × 49/20 × 49 = 490/980 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/980 < 490/980 or 9/49 < 10/20
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