Compare 1/5 and 28/36
1/5 is smaller than 28/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 5 × 36 = 180,
1/5 = 1 × 36/5 × 36 = 36/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
28/36 = 28 × 5/36 × 5 = 140/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/180 < 140/180 or 1/5 < 28/36
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