Compare 10/15 and 84/64
1st number: 10/15, 2nd number: 1 20/64
10/15 is smaller than 84/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 15 × 64 = 960,
10/15 = 10 × 64/15 × 64 = 640/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
84/64 = 84 × 15/64 × 15 = 1260/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/960 < 1260/960 or 10/15 < 84/64
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