Compare 10/30 and 2/14
10/30 is greater than 2/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
2/14 = 2 × 15/14 × 15 = 30/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/210 > 30/210 or 10/30 > 2/14
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