Compare 1/4 and 32/70
1/4 is smaller than 32/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 70 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 4 × 35 = 140,
1/4 = 1 × 35/4 × 35 = 35/140 - Likewise, for the 2nd fraction, since 70 × 2 = 140,
32/70 = 32 × 2/70 × 2 = 64/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/140 < 64/140 or 1/4 < 32/70
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