Compare 45/84 and 75/32
1st number: 45/84, 2nd number: 2 11/32
45/84 is smaller than 75/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 84 × 8 = 672,
45/84 = 45 × 8/84 × 8 = 360/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
75/32 = 75 × 21/32 × 21 = 1575/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/672 < 1575/672 or 45/84 < 75/32
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