Compare 30/40 and 84/25
1st number: 30/40, 2nd number: 3 9/25
30/40 is smaller than 84/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 25 is 200
Next, find the equivalent fraction of both fractional numbers with denominator 200 - For the 1st fraction, since 40 × 5 = 200,
30/40 = 30 × 5/40 × 5 = 150/200 - Likewise, for the 2nd fraction, since 25 × 8 = 200,
84/25 = 84 × 8/25 × 8 = 672/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/200 < 672/200 or 30/40 < 84/25
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