Compare 8/10 and 20/42
8/10 is greater than 20/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
8/10 = 8 × 21/10 × 21 = 168/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
20/42 = 20 × 5/42 × 5 = 100/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/210 > 100/210 or 8/10 > 20/42
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