Compare 8/21 and 35/30
1st number: 8/21, 2nd number: 1 5/30
8/21 is smaller than 35/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 21 × 10 = 210,
8/21 = 8 × 10/21 × 10 = 80/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
35/30 = 35 × 7/30 × 7 = 245/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/210 < 245/210 or 8/21 < 35/30
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