Compare 40/90 and 21/24
40/90 is smaller than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 24 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 90 × 4 = 360,
40/90 = 40 × 4/90 × 4 = 160/360 - Likewise, for the 2nd fraction, since 24 × 15 = 360,
21/24 = 21 × 15/24 × 15 = 315/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/360 < 315/360 or 40/90 < 21/24
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