Compare 10/84 and 40/50
10/84 is smaller than 40/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 50 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
10/84 = 10 × 25/84 × 25 = 250/2100 - Likewise, for the 2nd fraction, since 50 × 42 = 2100,
40/50 = 40 × 42/50 × 42 = 1680/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 250/2100 < 1680/2100 or 10/84 < 40/50
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