Compare 7/14 and 40/50
7/14 is smaller than 40/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 50 is 350
Next, find the equivalent fraction of both fractional numbers with denominator 350 - For the 1st fraction, since 14 × 25 = 350,
7/14 = 7 × 25/14 × 25 = 175/350 - Likewise, for the 2nd fraction, since 50 × 7 = 350,
40/50 = 40 × 7/50 × 7 = 280/350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/350 < 280/350 or 7/14 < 40/50
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