Add 75/90 and 21/98
75/90 + 21/98 is 22/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 98 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 90 × 49 = 4410,
75/90 = 75 × 49/90 × 49 = 3675/4410 - Likewise, for the 2nd fraction, since 98 × 45 = 4410,
21/98 = 21 × 45/98 × 45 = 945/4410 - Add the two like fractions:
3675/4410 + 945/4410 = 3675 + 945/4410 = 4620/4410 - 4620/4410 simplified gives 22/21
- So, 75/90 + 21/98 = 22/21
In mixed form: 11/21
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