Compare 6/40 and 7/14
6/40 is smaller than 7/14
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,
6/40 = 6 × 7/40 × 7 = 42/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
7/14 = 7 × 20/14 × 20 = 140/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/280 < 140/280 or 6/40 < 7/14
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