Compare 9/35 and 21/28
9/35 is smaller than 21/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 28 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 35 × 4 = 140,
9/35 = 9 × 4/35 × 4 = 36/140 - Likewise, for the 2nd fraction, since 28 × 5 = 140,
21/28 = 21 × 5/28 × 5 = 105/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/140 < 105/140 or 9/35 < 21/28
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