Compare 10/40 and 10/14
10/40 is smaller than 10/14
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,
10/14 = 10 × 20/14 × 20 = 200/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/280 < 200/280 or 10/40 < 10/14
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