Compare 3/80 and 30/14
1st number: 3/80, 2nd number: 2 2/14
3/80 is smaller than 30/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 14 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 80 × 7 = 560,
3/80 = 3 × 7/80 × 7 = 21/560 - Likewise, for the 2nd fraction, since 14 × 40 = 560,
30/14 = 30 × 40/14 × 40 = 1200/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/560 < 1200/560 or 3/80 < 30/14
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