Compare 10/40 and 30/14
1st number: 10/40, 2nd number: 2 2/14
10/40 is smaller than 30/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
10/40 = 10 × 7/40 × 7 = 70/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
30/14 = 30 × 20/14 × 20 = 600/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/280 < 600/280 or 10/40 < 30/14
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