Compare 21/6 and 63/7
1st number: 3 3/6, 2nd number: 9 0/7
21/6 is smaller than 63/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 7 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 6 × 7 = 42,
21/6 = 21 × 7/6 × 7 = 147/42 - Likewise, for the 2nd fraction, since 7 × 6 = 42,
63/7 = 63 × 6/7 × 6 = 378/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/42 < 378/42 or 21/6 < 63/7
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