Compare 7/28 and 2/5
7/28 is smaller than 2/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 5 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 28 × 5 = 140,
7/28 = 7 × 5/28 × 5 = 35/140 - Likewise, for the 2nd fraction, since 5 × 28 = 140,
2/5 = 2 × 28/5 × 28 = 56/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/140 < 56/140 or 7/28 < 2/5
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