Compare 2/8 and 45/54
2/8 is smaller than 45/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 54 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
2/8 = 2 × 27/8 × 27 = 54/216 - Likewise, for the 2nd fraction, since 54 × 4 = 216,
45/54 = 45 × 4/54 × 4 = 180/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/216 < 180/216 or 2/8 < 45/54
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