Compare 6/12 and 84/75
1st number: 6/12, 2nd number: 1 9/75
6/12 is smaller than 84/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 12 × 25 = 300,
6/12 = 6 × 25/12 × 25 = 150/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
84/75 = 84 × 4/75 × 4 = 336/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/300 < 336/300 or 6/12 < 84/75
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