Compare 30/42 and 40/9
1st number: 30/42, 2nd number: 4 4/9
30/42 is smaller than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
30/42 = 30 × 3/42 × 3 = 90/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
40/9 = 40 × 14/9 × 14 = 560/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/126 < 560/126 or 30/42 < 40/9
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