Compare 30/35 and 10/14
30/35 is greater 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,
30/35 = 30 × 2/35 × 2 = 60/70 - 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
- 60/70 > 50/70 or 30/35 > 10/14
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