Add 21/2 and 49/42
1st number: 10 1/2, 2nd number: 1 7/42
21/2 + 49/42 is 35/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 2 × 21 = 42,
21/2 = 21 × 21/2 × 21 = 441/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
49/42 = 49 × 1/42 × 1 = 49/42 - Add the two like fractions:
441/42 + 49/42 = 441 + 49/42 = 490/42 - 490/42 simplified gives 35/3
- So, 21/2 + 49/42 = 35/3
In mixed form: 112/3
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