Compare 9/5 and 30/42
1st number: 1 4/5, 2nd number: 30/42
9/5 is greater than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 5 × 42 = 210,
9/5 = 9 × 42/5 × 42 = 378/210 - 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
- 378/210 > 150/210 or 9/5 > 30/42
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