Compare 3/5 and 49/36
1st number: 3/5, 2nd number: 1 13/36
3/5 is smaller than 49/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 5 × 36 = 180,
3/5 = 3 × 36/5 × 36 = 108/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
49/36 = 49 × 5/36 × 5 = 245/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/180 < 245/180 or 3/5 < 49/36
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