Compare 30/64 and 8/84
30/64 is greater than 8/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 84 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 64 × 21 = 1344,
30/64 = 30 × 21/64 × 21 = 630/1344 - Likewise, for the 2nd fraction, since 84 × 16 = 1344,
8/84 = 8 × 16/84 × 16 = 128/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 630/1344 > 128/1344 or 30/64 > 8/84
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