Compare 40/45 and 75/98
40/45 is greater than 75/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 98 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 45 × 98 = 4410,
40/45 = 40 × 98/45 × 98 = 3920/4410 - Likewise, for the 2nd fraction, since 98 × 45 = 4410,
75/98 = 75 × 45/98 × 45 = 3375/4410 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3920/4410 > 3375/4410 or 40/45 > 75/98
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