Compare 36/12 and 84/8
1st number: 3 0/12, 2nd number: 10 4/8
36/12 is smaller than 84/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 8 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 12 × 2 = 24,
36/12 = 36 × 2/12 × 2 = 72/24 - Likewise, for the 2nd fraction, since 8 × 3 = 24,
84/8 = 84 × 3/8 × 3 = 252/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/24 < 252/24 or 36/12 < 84/8
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