Compare 3/27 and 10/35
3/27 is smaller than 10/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 35 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 27 × 35 = 945,
3/27 = 3 × 35/27 × 35 = 105/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
10/35 = 10 × 27/35 × 27 = 270/945 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/945 < 270/945 or 3/27 < 10/35
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