Compare 9/40 and 20/70
9/40 is smaller than 20/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 70 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
9/40 = 9 × 7/40 × 7 = 63/280 - Likewise, for the 2nd fraction, since 70 × 4 = 280,
20/70 = 20 × 4/70 × 4 = 80/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/280 < 80/280 or 9/40 < 20/70
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