Compare 4/64 and 9/40
4/64 is smaller than 9/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 40 is 320
Next, find the equivalent fraction of both fractional numbers with denominator 320 - For the 1st fraction, since 64 × 5 = 320,
4/64 = 4 × 5/64 × 5 = 20/320 - Likewise, for the 2nd fraction, since 40 × 8 = 320,
9/40 = 9 × 8/40 × 8 = 72/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/320 < 72/320 or 4/64 < 9/40
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