Compare 5/36 and 9/32
5/36 is smaller than 9/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 32 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 36 × 8 = 288,
5/36 = 5 × 8/36 × 8 = 40/288 - Likewise, for the 2nd fraction, since 32 × 9 = 288,
9/32 = 9 × 9/32 × 9 = 81/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/288 < 81/288 or 5/36 < 9/32
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