Compare 3/5 and 60/64
3/5 is smaller than 60/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 64 is 320
Next, find the equivalent fraction of both fractional numbers with denominator 320 - For the 1st fraction, since 5 × 64 = 320,
3/5 = 3 × 64/5 × 64 = 192/320 - Likewise, for the 2nd fraction, since 64 × 5 = 320,
60/64 = 60 × 5/64 × 5 = 300/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 192/320 < 300/320 or 3/5 < 60/64
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