Compare 30/60 and 40/18
1st number: 30/60, 2nd number: 2 4/18
30/60 is smaller than 40/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 18 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 60 × 3 = 180,
30/60 = 30 × 3/60 × 3 = 90/180 - Likewise, for the 2nd fraction, since 18 × 10 = 180,
40/18 = 40 × 10/18 × 10 = 400/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/180 < 400/180 or 30/60 < 40/18
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