Compare 21/10 and 70/9
1st number: 2 1/10, 2nd number: 7 7/9
21/10 is smaller than 70/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 10 × 9 = 90,
21/10 = 21 × 9/10 × 9 = 189/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
70/9 = 70 × 10/9 × 10 = 700/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/90 < 700/90 or 21/10 < 70/9
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