Compare 45/40 and 30/50
1st number: 1 5/40, 2nd number: 30/50
45/40 is greater than 30/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 50 is 200
Next, find the equivalent fraction of both fractional numbers with denominator 200 - For the 1st fraction, since 40 × 5 = 200,
45/40 = 45 × 5/40 × 5 = 225/200 - Likewise, for the 2nd fraction, since 50 × 4 = 200,
30/50 = 30 × 4/50 × 4 = 120/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/200 > 120/200 or 45/40 > 30/50
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