Compare 3/10 and 28/42
3/10 is smaller than 28/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
3/10 = 3 × 21/10 × 21 = 63/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
28/42 = 28 × 5/42 × 5 = 140/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/210 < 140/210 or 3/10 < 28/42
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