Compare 42/20 and 28/7
1st number: 2 2/20, 2nd number: 4 0/7
42/20 is smaller than 28/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 7 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 20 × 7 = 140,
42/20 = 42 × 7/20 × 7 = 294/140 - Likewise, for the 2nd fraction, since 7 × 20 = 140,
28/7 = 28 × 20/7 × 20 = 560/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/140 < 560/140 or 42/20 < 28/7
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