Compare 8/20 and 40/70
8/20 is smaller than 40/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 70 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 20 × 7 = 140,
8/20 = 8 × 7/20 × 7 = 56/140 - Likewise, for the 2nd fraction, since 70 × 2 = 140,
40/70 = 40 × 2/70 × 2 = 80/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/140 < 80/140 or 8/20 < 40/70
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