Add 21/98 and 75/32
1st number: 21/98, 2nd number: 2 11/32
21/98 + 75/32 is 573/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 98 × 16 = 1568,
21/98 = 21 × 16/98 × 16 = 336/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
75/32 = 75 × 49/32 × 49 = 3675/1568 - Add the two like fractions:
336/1568 + 3675/1568 = 336 + 3675/1568 = 4011/1568 - 4011/1568 simplified gives 573/224
- So, 21/98 + 75/32 = 573/224
In mixed form: 2125/224
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