Compare 36/9 and 21/15
1st number: 4 0/9, 2nd number: 1 6/15
36/9 is greater than 21/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 15 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 9 × 5 = 45,
36/9 = 36 × 5/9 × 5 = 180/45 - Likewise, for the 2nd fraction, since 15 × 3 = 45,
21/15 = 21 × 3/15 × 3 = 63/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/45 > 63/45 or 36/9 > 21/15
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