Compare 20/30 and 15/42
20/30 is greater than 15/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
20/30 = 20 × 7/30 × 7 = 140/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
15/42 = 15 × 5/42 × 5 = 75/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/210 > 75/210 or 20/30 > 15/42
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