Compare 21/6 and 45/32
1st number: 3 3/6, 2nd number: 1 13/32
21/6 is greater than 45/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 32 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 6 × 16 = 96,
21/6 = 21 × 16/6 × 16 = 336/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
45/32 = 45 × 3/32 × 3 = 135/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/96 > 135/96 or 21/6 > 45/32
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