Compare 40/9 and 42/30
1st number: 4 4/9, 2nd number: 1 12/30
40/9 is greater than 42/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 30 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 9 × 10 = 90,
40/9 = 40 × 10/9 × 10 = 400/90 - Likewise, for the 2nd fraction, since 30 × 3 = 90,
42/30 = 42 × 3/30 × 3 = 126/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/90 > 126/90 or 40/9 > 42/30
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