Compare 10/9 and 80/70
1st number: 1 1/9, 2nd number: 1 10/70
10/9 is smaller than 80/70
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,
10/9 = 10 × 70/9 × 70 = 700/630 - Likewise, for the 2nd fraction, since 70 × 9 = 630,
80/70 = 80 × 9/70 × 9 = 720/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 700/630 < 720/630 or 10/9 < 80/70
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