Compare 1/2 and 54/45
1st number: 1/2, 2nd number: 1 9/45
1/2 is smaller than 54/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 2 × 45 = 90,
1/2 = 1 × 45/2 × 45 = 45/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
54/45 = 54 × 2/45 × 2 = 108/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/90 < 108/90 or 1/2 < 54/45
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