Compare 8/21 and 21/70
8/21 is greater than 21/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 70 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 70 × 3 = 210,
21/70 = 21 × 3/70 × 3 = 63/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/210 > 63/210 or 8/21 > 21/70
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