Compare 3/24 and 75/90
3/24 is smaller than 75/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 90 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 24 × 15 = 360,
3/24 = 3 × 15/24 × 15 = 45/360 - Likewise, for the 2nd fraction, since 90 × 4 = 360,
75/90 = 75 × 4/90 × 4 = 300/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/360 < 300/360 or 3/24 < 75/90
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