Compare 30/8 and 45/27
1st number: 3 6/8, 2nd number: 1 18/27
30/8 is greater than 45/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
30/8 = 30 × 27/8 × 27 = 810/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
45/27 = 45 × 8/27 × 8 = 360/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/216 > 360/216 or 30/8 > 45/27
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