Compare 10/28 and 32/35
10/28 is smaller than 32/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 28 × 5 = 140,
10/28 = 10 × 5/28 × 5 = 50/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
32/35 = 32 × 4/35 × 4 = 128/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/140 < 128/140 or 10/28 < 32/35
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