Compare 3/4 and 32/35
3/4 is smaller than 32/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 4 × 35 = 140,
3/4 = 3 × 35/4 × 35 = 105/140 - 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
- 105/140 < 128/140 or 3/4 < 32/35
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