Compare 2/9 and 10/32
2/9 is smaller than 10/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 32 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 9 × 32 = 288,
2/9 = 2 × 32/9 × 32 = 64/288 - Likewise, for the 2nd fraction, since 32 × 9 = 288,
10/32 = 10 × 9/32 × 9 = 90/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/288 < 90/288 or 2/9 < 10/32
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