Compare 4/9 and 70/84
4/9 is smaller than 70/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
4/9 = 4 × 28/9 × 28 = 112/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
70/84 = 70 × 3/84 × 3 = 210/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/252 < 210/252 or 4/9 < 70/84
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