Compare 8/9 and 30/42
8/9 is greater than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
8/9 = 8 × 14/9 × 14 = 112/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
30/42 = 30 × 3/42 × 3 = 90/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/126 > 90/126 or 8/9 > 30/42
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