Compare 2/32 and 45/54
2/32 is smaller than 45/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 54 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 32 × 27 = 864,
2/32 = 2 × 27/32 × 27 = 54/864 - Likewise, for the 2nd fraction, since 54 × 16 = 864,
45/54 = 45 × 16/54 × 16 = 720/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/864 < 720/864 or 2/32 < 45/54
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