Compare 45/20 and 32/30
1st number: 2 5/20, 2nd number: 1 2/30
45/20 is greater than 32/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 30 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 20 × 3 = 60,
45/20 = 45 × 3/20 × 3 = 135/60 - Likewise, for the 2nd fraction, since 30 × 2 = 60,
32/30 = 32 × 2/30 × 2 = 64/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/60 > 64/60 or 45/20 > 32/30
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