Compare 10/21 and 27/30
10/21 is smaller than 27/30
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,
10/21 = 10 × 10/21 × 10 = 100/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
27/30 = 27 × 7/30 × 7 = 189/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/210 < 189/210 or 10/21 < 27/30
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