Compare 30/8 and 45/18
1st number: 3 6/8, 2nd number: 2 9/18
30/8 is greater than 45/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 18 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 8 × 9 = 72,
30/8 = 30 × 9/8 × 9 = 270/72 - Likewise, for the 2nd fraction, since 18 × 4 = 72,
45/18 = 45 × 4/18 × 4 = 180/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/72 > 180/72 or 30/8 > 45/18
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