Compare 40/30 and 54/18
1st number: 1 10/30, 2nd number: 3 0/18
40/30 is smaller than 54/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 18 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
40/30 = 40 × 3/30 × 3 = 120/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
54/18 = 54 × 5/18 × 5 = 270/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/90 < 270/90 or 40/30 < 54/18
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