Compare 1/3 and 36/30
1st number: 1/3, 2nd number: 1 6/30
1/3 is smaller than 36/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 30 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 3 × 10 = 30,
1/3 = 1 × 10/3 × 10 = 10/30 - Likewise, for the 2nd fraction, since 30 × 1 = 30,
36/30 = 36 × 1/30 × 1 = 36/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/30 < 36/30 or 1/3 < 36/30
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