Compare 45/18 and 27/8
1st number: 2 9/18, 2nd number: 3 3/8
45/18 is smaller than 27/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 8 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 18 × 4 = 72,
45/18 = 45 × 4/18 × 4 = 180/72 - Likewise, for the 2nd fraction, since 8 × 9 = 72,
27/8 = 27 × 9/8 × 9 = 243/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/72 < 243/72 or 45/18 < 27/8
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