Compare 42/12 and 48/21
1st number: 3 6/12, 2nd number: 2 6/21
42/12 is greater than 48/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
42/12 = 42 × 7/12 × 7 = 294/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
48/21 = 48 × 4/21 × 4 = 192/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/84 > 192/84 or 42/12 > 48/21
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