Compare 18/30 and 35/36
18/30 is smaller than 35/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 30 × 6 = 180,
18/30 = 18 × 6/30 × 6 = 108/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
35/36 = 35 × 5/36 × 5 = 175/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/180 < 175/180 or 18/30 < 35/36
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