Compare 21/50 and 40/60
21/50 is smaller than 40/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 60 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 50 × 6 = 300,
21/50 = 21 × 6/50 × 6 = 126/300 - Likewise, for the 2nd fraction, since 60 × 5 = 300,
40/60 = 40 × 5/60 × 5 = 200/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/300 < 200/300 or 21/50 < 40/60
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