Compare 9/35 and 10/14
9/35 is smaller than 10/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 14 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 35 × 2 = 70,
9/35 = 9 × 2/35 × 2 = 18/70 - Likewise, for the 2nd fraction, since 14 × 5 = 70,
10/14 = 10 × 5/14 × 5 = 50/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/70 < 50/70 or 9/35 < 10/14
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