Compare 1/5 and 8/28
1/5 is smaller than 8/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 28 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 5 × 28 = 140,
1/5 = 1 × 28/5 × 28 = 28/140 - Likewise, for the 2nd fraction, since 28 × 5 = 140,
8/28 = 8 × 5/28 × 5 = 40/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/140 < 40/140 or 1/5 < 8/28
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