Compare 40/75 and 20/18
1st number: 40/75, 2nd number: 1 2/18
40/75 is smaller than 20/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
40/75 = 40 × 6/75 × 6 = 240/450 - Likewise, for the 2nd fraction, since 18 × 25 = 450,
20/18 = 20 × 25/18 × 25 = 500/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/450 < 500/450 or 40/75 < 20/18
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