Compare 30/14 and 80/10
1st number: 2 2/14, 2nd number: 8 0/10
30/14 is smaller than 80/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 10 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 14 × 5 = 70,
30/14 = 30 × 5/14 × 5 = 150/70 - Likewise, for the 2nd fraction, since 10 × 7 = 70,
80/10 = 80 × 7/10 × 7 = 560/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/70 < 560/70 or 30/14 < 80/10
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