Compare 10/64 and 3/10
10/64 is smaller than 3/10
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,
10/64 = 10 × 5/64 × 5 = 50/320 - Likewise, for the 2nd fraction, since 10 × 32 = 320,
3/10 = 3 × 32/10 × 32 = 96/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/320 < 96/320 or 10/64 < 3/10
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