Compare 54/75 and 42/18
1st number: 54/75, 2nd number: 2 6/18
54/75 is smaller than 42/18
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,
54/75 = 54 × 6/75 × 6 = 324/450 - Likewise, for the 2nd fraction, since 18 × 25 = 450,
42/18 = 42 × 25/18 × 25 = 1050/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/450 < 1050/450 or 54/75 < 42/18
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