Compare 2/10 and 30/42
2/10 is smaller than 30/42
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,
2/10 = 2 × 21/10 × 21 = 42/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/210 < 150/210 or 2/10 < 30/42
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