Compare 2/7 and 84/40
1st number: 2/7, 2nd number: 2 4/40
2/7 is smaller than 84/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
2/7 = 2 × 40/7 × 40 = 80/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
84/40 = 84 × 7/40 × 7 = 588/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/280 < 588/280 or 2/7 < 84/40
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