Compare 10/16 and 35/36
10/16 is smaller than 35/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 36 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
10/16 = 10 × 9/16 × 9 = 90/144 - Likewise, for the 2nd fraction, since 36 × 4 = 144,
35/36 = 35 × 4/36 × 4 = 140/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/144 < 140/144 or 10/16 < 35/36
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