Compare 30/64 and 12/20
30/64 is smaller than 12/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 20 is 320
Next, find the equivalent fraction of both fractional numbers with denominator 320 - For the 1st fraction, since 64 × 5 = 320,
30/64 = 30 × 5/64 × 5 = 150/320 - Likewise, for the 2nd fraction, since 20 × 16 = 320,
12/20 = 12 × 16/20 × 16 = 192/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/320 < 192/320 or 30/64 < 12/20
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