Compare 42/20 and 20/8
1st number: 2 2/20, 2nd number: 2 4/8
42/20 is smaller than 20/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 8 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 20 × 2 = 40,
42/20 = 42 × 2/20 × 2 = 84/40 - Likewise, for the 2nd fraction, since 8 × 5 = 40,
20/8 = 20 × 5/8 × 5 = 100/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/40 < 100/40 or 42/20 < 20/8
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