Compare 15/35 and 40/7
1st number: 15/35, 2nd number: 5 5/7
15/35 is smaller than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 7 is 35
Next, find the equivalent fraction of both fractional numbers with denominator 35 - For the 1st fraction, since 35 × 1 = 35,
15/35 = 15 × 1/35 × 1 = 15/35 - Likewise, for the 2nd fraction, since 7 × 5 = 35,
40/7 = 40 × 5/7 × 5 = 200/35 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/35 < 200/35 or 15/35 < 40/7
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