Compare 2/3 and 30/32
2/3 is smaller than 30/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 32 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 3 × 32 = 96,
2/3 = 2 × 32/3 × 32 = 64/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
30/32 = 30 × 3/32 × 3 = 90/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/96 < 90/96 or 2/3 < 30/32
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