Compare 9/36 and 60/70
9/36 is smaller than 60/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 70 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 36 × 35 = 1260,
9/36 = 9 × 35/36 × 35 = 315/1260 - Likewise, for the 2nd fraction, since 70 × 18 = 1260,
60/70 = 60 × 18/70 × 18 = 1080/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/1260 < 1080/1260 or 9/36 < 60/70
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