Compare 49/10 and 64/9
1st number: 4 9/10, 2nd number: 7 1/9
49/10 is smaller than 64/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 10 × 9 = 90,
49/10 = 49 × 9/10 × 9 = 441/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
64/9 = 64 × 10/9 × 10 = 640/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 441/90 < 640/90 or 49/10 < 64/9
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