Compare 9/84 and 40/70
9/84 is smaller than 40/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
9/84 = 9 × 5/84 × 5 = 45/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
40/70 = 40 × 6/70 × 6 = 240/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/420 < 240/420 or 9/84 < 40/70
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