Compare 1/28 and 35/70
1/28 is smaller than 35/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 70 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 28 × 5 = 140,
1/28 = 1 × 5/28 × 5 = 5/140 - Likewise, for the 2nd fraction, since 70 × 2 = 140,
35/70 = 35 × 2/70 × 2 = 70/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 5/140 < 70/140 or 1/28 < 35/70
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