Add 36/27 and 49/42
1st number: 1 9/27, 2nd number: 1 7/42
36/27 + 49/42 is 5/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
36/27 = 36 × 14/27 × 14 = 504/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
49/42 = 49 × 9/42 × 9 = 441/378 - Add the two like fractions:
504/378 + 441/378 = 504 + 441/378 = 945/378 - 945/378 simplified gives 5/2
- So, 36/27 + 49/42 = 5/2
In mixed form: 21/2
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