Compare 9/30 and 14/35
9/30 is smaller than 14/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
9/30 = 9 × 7/30 × 7 = 63/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
14/35 = 14 × 6/35 × 6 = 84/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/210 < 84/210 or 9/30 < 14/35
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