Compare 2/9 and 49/70
2/9 is smaller than 49/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 70 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 9 × 70 = 630,
2/9 = 2 × 70/9 × 70 = 140/630 - Likewise, for the 2nd fraction, since 70 × 9 = 630,
49/70 = 49 × 9/70 × 9 = 441/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/630 < 441/630 or 2/9 < 49/70
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