Compare 20/18 and 84/40
1st number: 1 2/18, 2nd number: 2 4/40
20/18 is smaller than 84/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 18 × 20 = 360,
20/18 = 20 × 20/18 × 20 = 400/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
84/40 = 84 × 9/40 × 9 = 756/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/360 < 756/360 or 20/18 < 84/40
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