Compare 32/40 and 45/50
32/40 is smaller than 45/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 50 is 200
Next, find the equivalent fraction of both fractional numbers with denominator 200 - For the 1st fraction, since 40 × 5 = 200,
32/40 = 32 × 5/40 × 5 = 160/200 - Likewise, for the 2nd fraction, since 50 × 4 = 200,
45/50 = 45 × 4/50 × 4 = 180/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/200 < 180/200 or 32/40 < 45/50
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