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