Compare 40/5 and 98/7
1st number: 8 0/5, 2nd number: 14 0/7
40/5 is smaller than 98/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 7 is 35
Next, find the equivalent fraction of both fractional numbers with denominator 35 - For the 1st fraction, since 5 × 7 = 35,
40/5 = 40 × 7/5 × 7 = 280/35 - Likewise, for the 2nd fraction, since 7 × 5 = 35,
98/7 = 98 × 5/7 × 5 = 490/35 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/35 < 490/35 or 40/5 < 98/7
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