Compare 2/30 and 84/42
1st number: 2/30, 2nd number: 2 0/42
2/30 is smaller than 84/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
2/30 = 2 × 7/30 × 7 = 14/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
84/42 = 84 × 5/42 × 5 = 420/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/210 < 420/210 or 2/30 < 84/42
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