Compare 40/98 and 10/45
40/98 is greater than 10/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 45 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 98 × 45 = 4410,
40/98 = 40 × 45/98 × 45 = 1800/4410 - Likewise, for the 2nd fraction, since 45 × 98 = 4410,
10/45 = 10 × 98/45 × 98 = 980/4410 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1800/4410 > 980/4410 or 40/98 > 10/45
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