Compare 1/40 and 20/64
1/40 is smaller than 20/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 64 is 320
Next, find the equivalent fraction of both fractional numbers with denominator 320 - For the 1st fraction, since 40 × 8 = 320,
1/40 = 1 × 8/40 × 8 = 8/320 - Likewise, for the 2nd fraction, since 64 × 5 = 320,
20/64 = 20 × 5/64 × 5 = 100/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/320 < 100/320 or 1/40 < 20/64
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