Add 27/8 and 49/42
1st number: 3 3/8, 2nd number: 1 7/42
27/8 + 49/42 is 109/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 42 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
27/8 = 27 × 21/8 × 21 = 567/168 - Likewise, for the 2nd fraction, since 42 × 4 = 168,
49/42 = 49 × 4/42 × 4 = 196/168 - Add the two like fractions:
567/168 + 196/168 = 567 + 196/168 = 763/168 - 763/168 simplified gives 109/24
- So, 27/8 + 49/42 = 109/24
In mixed form: 413/24
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