Compare 10/21 and 8/10
1021 is smaller than 810
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 10 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 21 × 10 = 210,
1021 = 10 × 1021 × 10 = 100210 - Likewise, for the 2nd fraction, since 10 × 21 = 210,
810 = 8 × 2110 × 21 = 168210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100210 < 168210 or 1021 < 810
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