Compare 9/12 and 60/70
9/12 is smaller than 60/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
9/12 = 9 × 35/12 × 35 = 315/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
60/70 = 60 × 6/70 × 6 = 360/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/420 < 360/420 or 9/12 < 60/70
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