Compare 30/40 and 4/64
30/40 is greater than 4/64
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,
30/40 = 30 × 8/40 × 8 = 240/320 - Likewise, for the 2nd fraction, since 64 × 5 = 320,
4/64 = 4 × 5/64 × 5 = 20/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/320 > 20/320 or 30/40 > 4/64
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