Compare 30/36 and 20/8
1st number: 30/36, 2nd number: 2 4/8
30/36 is smaller than 20/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 8 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 36 × 2 = 72,
30/36 = 30 × 2/36 × 2 = 60/72 - Likewise, for the 2nd fraction, since 8 × 9 = 72,
20/8 = 20 × 9/8 × 9 = 180/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/72 < 180/72 or 30/36 < 20/8
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