Compare 84/4 and 40/9
1st number: 21 0/4, 2nd number: 4 4/9
84/4 is greater than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 4 × 9 = 36,
84/4 = 84 × 9/4 × 9 = 756/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
40/9 = 40 × 4/9 × 4 = 160/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 756/36 > 160/36 or 84/4 > 40/9
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