Compare 18/40 and 35/75
18/40 is smaller than 35/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 40 × 15 = 600,
18/40 = 18 × 15/40 × 15 = 270/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
35/75 = 35 × 8/75 × 8 = 280/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/600 < 280/600 or 18/40 < 35/75
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