Compare 30/36 and 16/18
30/36 is smaller than 16/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 18 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 36 × 1 = 36,
30/36 = 30 × 1/36 × 1 = 30/36 - Likewise, for the 2nd fraction, since 18 × 2 = 36,
16/18 = 16 × 2/18 × 2 = 32/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/36 < 32/36 or 30/36 < 16/18
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