Compare 42/40 and 20/30
1st number: 1 2/40, 2nd number: 20/30
42/40 is greater than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 30 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
42/40 = 42 × 3/40 × 3 = 126/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
20/30 = 20 × 4/30 × 4 = 80/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/120 > 80/120 or 42/40 > 20/30
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