Compare 40/12 and 98/18
1st number: 3 4/12, 2nd number: 5 8/18
40/12 is smaller than 98/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 18 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
40/12 = 40 × 3/12 × 3 = 120/36 - Likewise, for the 2nd fraction, since 18 × 2 = 36,
98/18 = 98 × 2/18 × 2 = 196/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/36 < 196/36 or 40/12 < 98/18
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