Compare 36/90 and 9/20
36/90 is smaller than 9/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 90 × 2 = 180,
36/90 = 36 × 2/90 × 2 = 72/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
9/20 = 9 × 9/20 × 9 = 81/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/180 < 81/180 or 36/90 < 9/20
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