Compare 40/35 and 30/42
1st number: 1 5/35, 2nd number: 30/42
40/35 is greater than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
40/35 = 40 × 6/35 × 6 = 240/210 - 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
- 240/210 > 150/210 or 40/35 > 30/42
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