Compare 75/32 and 84/20
1st number: 2 11/32, 2nd number: 4 4/20
75/32 is smaller than 84/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 20 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 32 × 5 = 160,
75/32 = 75 × 5/32 × 5 = 375/160 - Likewise, for the 2nd fraction, since 20 × 8 = 160,
84/20 = 84 × 8/20 × 8 = 672/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 375/160 < 672/160 or 75/32 < 84/20
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