Compare 40/25 and 84/42
1st number: 1 15/25, 2nd number: 2 0/42
40/25 is smaller than 84/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 25 × 42 = 1050,
40/25 = 40 × 42/25 × 42 = 1680/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
84/42 = 84 × 25/42 × 25 = 2100/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1680/1050 < 2100/1050 or 40/25 < 84/42
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