Compare 10/35 and 30/70
10/35 is smaller than 30/70
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,
10/35 = 10 × 2/35 × 2 = 20/70 - Likewise, for the 2nd fraction, since 70 × 1 = 70,
30/70 = 30 × 1/70 × 1 = 30/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/70 < 30/70 or 10/35 < 30/70
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