Compare 36/8 and 64/9
1st number: 4 4/8, 2nd number: 7 1/9
36/8 is smaller than 64/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 8 × 9 = 72,
36/8 = 36 × 9/8 × 9 = 324/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
64/9 = 64 × 8/9 × 8 = 512/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/72 < 512/72 or 36/8 < 64/9
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