Compare 10/9 and 84/64
1st number: 1 1/9, 2nd number: 1 20/64
10/9 is smaller than 84/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 64 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 9 × 64 = 576,
10/9 = 10 × 64/9 × 64 = 640/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
84/64 = 84 × 9/64 × 9 = 756/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/576 < 756/576 or 10/9 < 84/64
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