Compare 9/36 and 36/5
1st number: 9/36, 2nd number: 7 1/5
9/36 is smaller than 36/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 5 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 36 × 5 = 180,
9/36 = 9 × 5/36 × 5 = 45/180 - Likewise, for the 2nd fraction, since 5 × 36 = 180,
36/5 = 36 × 36/5 × 36 = 1296/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/180 < 1296/180 or 9/36 < 36/5
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