Compare 30/84 and 21/10
1st number: 30/84, 2nd number: 2 1/10
30/84 is smaller than 21/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 10 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 10 × 42 = 420,
21/10 = 21 × 42/10 × 42 = 882/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/420 < 882/420 or 30/84 < 21/10
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