Compare 2/8 and 32/36
2/8 is smaller than 32/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 36 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 8 × 9 = 72,
2/8 = 2 × 9/8 × 9 = 18/72 - Likewise, for the 2nd fraction, since 36 × 2 = 72,
32/36 = 32 × 2/36 × 2 = 64/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/72 < 64/72 or 2/8 < 32/36
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