Compare 8/14 and 30/35
8/14 is smaller than 30/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 35 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 14 × 5 = 70,
8/14 = 8 × 5/14 × 5 = 40/70 - Likewise, for the 2nd fraction, since 35 × 2 = 70,
30/35 = 30 × 2/35 × 2 = 60/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/70 < 60/70 or 8/14 < 30/35
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