Compare 4/50 and 8/21
4/50 is smaller than 8/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 21 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 50 × 21 = 1050,
4/50 = 4 × 21/50 × 21 = 84/1050 - Likewise, for the 2nd fraction, since 21 × 50 = 1050,
8/21 = 8 × 50/21 × 50 = 400/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/1050 < 400/1050 or 4/50 < 8/21
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