Compare 14/35 and 10/30
14/35 is greater than 10/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
14/35 = 14 × 6/35 × 6 = 84/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/210 > 70/210 or 14/35 > 10/30
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