Compare 10/30 and 84/64
1st number: 10/30, 2nd number: 1 20/64
10/30 is smaller than 84/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 30 × 32 = 960,
10/30 = 10 × 32/30 × 32 = 320/960 - 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
- 320/960 < 1260/960 or 10/30 < 84/64
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