Compare 98/40 and 45/42
1st number: 2 18/40, 2nd number: 1 3/42
98/40 is greater than 45/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
98/40 = 98 × 21/40 × 21 = 2058/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
45/42 = 45 × 20/42 × 20 = 900/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2058/840 > 900/840 or 98/40 > 45/42
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