Compare 36/14 and 49/15
1st number: 2 8/14, 2nd number: 3 4/15
36/14 is smaller than 49/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 15 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
36/14 = 36 × 15/14 × 15 = 540/210 - Likewise, for the 2nd fraction, since 15 × 14 = 210,
49/15 = 49 × 14/15 × 14 = 686/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 540/210 < 686/210 or 36/14 < 49/15
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