Compare 30/14 and 40/4
1st number: 2 2/14, 2nd number: 10 0/4
3014 is smaller than 404
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 4 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 14 × 2 = 28,
3014 = 30 × 214 × 2 = 6028 - Likewise, for the 2nd fraction, since 4 × 7 = 28,
404 = 40 × 74 × 7 = 28028 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6028 < 28028 or 3014 < 404
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