Add 20/98 and 75/90
20/98 + 75/90 is 305/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 90 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 98 × 45 = 4410,
20/98 = 20 × 45/98 × 45 = 900/4410 - Likewise, for the 2nd fraction, since 90 × 49 = 4410,
75/90 = 75 × 49/90 × 49 = 3675/4410 - Add the two like fractions:
900/4410 + 3675/4410 = 900 + 3675/4410 = 4575/4410 - 4575/4410 simplified gives 305/294
- So, 20/98 + 75/90 = 305/294
In mixed form: 111/294
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