Compare 21/70 and 21/8
1st number: 21/70, 2nd number: 2 5/8
21/70 is smaller than 21/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 8 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 70 × 4 = 280,
21/70 = 21 × 4/70 × 4 = 84/280 - Likewise, for the 2nd fraction, since 8 × 35 = 280,
21/8 = 21 × 35/8 × 35 = 735/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/280 < 735/280 or 21/70 < 21/8
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