Compare 40/18 and 30/45
1st number: 2 4/18, 2nd number: 30/45
40/18 is greater than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 18 × 5 = 90,
40/18 = 40 × 5/18 × 5 = 200/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
30/45 = 30 × 2/45 × 2 = 60/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/90 > 60/90 or 40/18 > 30/45
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