Compare 8/45 and 18/24
8/45 is smaller than 18/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 24 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
8/45 = 8 × 8/45 × 8 = 64/360 - Likewise, for the 2nd fraction, since 24 × 15 = 360,
18/24 = 18 × 15/24 × 15 = 270/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/360 < 270/360 or 8/45 < 18/24
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