Compare 70/27 and 30/64
1st number: 2 16/27, 2nd number: 30/64
70/27 is greater than 30/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 64 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 27 × 64 = 1728,
70/27 = 70 × 64/27 × 64 = 4480/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
30/64 = 30 × 27/64 × 27 = 810/1728 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4480/1728 > 810/1728 or 70/27 > 30/64
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