Compare 3/35 and 8/24
3/35 is smaller than 8/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 24 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 35 × 24 = 840,
3/35 = 3 × 24/35 × 24 = 72/840 - Likewise, for the 2nd fraction, since 24 × 35 = 840,
8/24 = 8 × 35/24 × 35 = 280/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/840 < 280/840 or 3/35 < 8/24
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