Compare 10/35 and 9/16
10/35 is smaller than 9/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 16 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 35 × 16 = 560,
10/35 = 10 × 16/35 × 16 = 160/560 - Likewise, for the 2nd fraction, since 16 × 35 = 560,
9/16 = 9 × 35/16 × 35 = 315/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/560 < 315/560 or 10/35 < 9/16
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