Compare 45/30 and 32/40
1st number: 1 15/30, 2nd number: 32/40
45/30 is greater than 32/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
45/30 = 45 × 4/30 × 4 = 180/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
32/40 = 32 × 3/40 × 3 = 96/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/120 > 96/120 or 45/30 > 32/40
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