Compare 21/64 and 6/10
21/64 is smaller than 6/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 10 is 320
Next, find the equivalent fraction of both fractional numbers with denominator 320 - For the 1st fraction, since 64 × 5 = 320,
21/64 = 21 × 5/64 × 5 = 105/320 - Likewise, for the 2nd fraction, since 10 × 32 = 320,
6/10 = 6 × 32/10 × 32 = 192/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/320 < 192/320 or 21/64 < 6/10
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