Compare 3/10 and 9/28
3/10 is smaller than 9/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 28 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 10 × 14 = 140,
3/10 = 3 × 14/10 × 14 = 42/140 - Likewise, for the 2nd fraction, since 28 × 5 = 140,
9/28 = 9 × 5/28 × 5 = 45/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/140 < 45/140 or 3/10 < 9/28
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