Compare 49/5 and 21/7
1st number: 9 4/5, 2nd number: 3 0/7
49/5 is greater than 21/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 7 is 35
Next, find the equivalent fraction of both fractional numbers with denominator 35 - For the 1st fraction, since 5 × 7 = 35,
49/5 = 49 × 7/5 × 7 = 343/35 - Likewise, for the 2nd fraction, since 7 × 5 = 35,
21/7 = 21 × 5/7 × 5 = 105/35 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/35 > 105/35 or 49/5 > 21/7
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