Compare 4/15 and 12/14
415 is smaller than 1214
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
415 = 4 × 1415 × 14 = 56210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
1214 = 12 × 1514 × 15 = 180210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56210 < 180210 or 415 < 1214
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