Compare 1/4 and 49/36
1st number: 1/4, 2nd number: 1 13/36
1/4 is smaller than 49/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 36 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 4 × 9 = 36,
1/4 = 1 × 9/4 × 9 = 9/36 - Likewise, for the 2nd fraction, since 36 × 1 = 36,
49/36 = 49 × 1/36 × 1 = 49/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/36 < 49/36 or 1/4 < 49/36
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