Compare 10/90 and 30/36
10/90 is smaller than 30/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 90 × 2 = 180,
10/90 = 10 × 2/90 × 2 = 20/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
30/36 = 30 × 5/36 × 5 = 150/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/180 < 150/180 or 10/90 < 30/36
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