Compare 21/20 and 70/9
1st number: 1 1/20, 2nd number: 7 7/9
21/20 is smaller than 70/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 9 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
21/20 = 21 × 9/20 × 9 = 189/180 - Likewise, for the 2nd fraction, since 9 × 20 = 180,
70/9 = 70 × 20/9 × 20 = 1400/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/180 < 1400/180 or 21/20 < 70/9
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