Compare 8/24 and 42/70
8/24 is smaller than 42/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 70 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 24 × 35 = 840,
8/24 = 8 × 35/24 × 35 = 280/840 - Likewise, for the 2nd fraction, since 70 × 12 = 840,
42/70 = 42 × 12/70 × 12 = 504/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/840 < 504/840 or 8/24 < 42/70
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