Compare 10/18 and 30/49
10/18 is smaller than 30/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 49 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 18 × 49 = 882,
10/18 = 10 × 49/18 × 49 = 490/882 - Likewise, for the 2nd fraction, since 49 × 18 = 882,
30/49 = 30 × 18/49 × 18 = 540/882 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/882 < 540/882 or 10/18 < 30/49
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