Compare 2/18 and 35/40
2/18 is smaller than 35/40
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,
2/18 = 2 × 20/18 × 20 = 40/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
35/40 = 35 × 9/40 × 9 = 315/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/360 < 315/360 or 2/18 < 35/40
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