Compare 7/18 and 42/75
7/18 is smaller than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 75 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 18 × 25 = 450,
7/18 = 7 × 25/18 × 25 = 175/450 - Likewise, for the 2nd fraction, since 75 × 6 = 450,
42/75 = 42 × 6/75 × 6 = 252/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/450 < 252/450 or 7/18 < 42/75
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