Compare 40/15 and 42/35
1st number: 2 10/15, 2nd number: 1 7/35
40/15 is greater than 42/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
40/15 = 40 × 7/15 × 7 = 280/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
42/35 = 42 × 3/35 × 3 = 126/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/105 > 126/105 or 40/15 > 42/35
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