Add 49/27 and 45/42
1st number: 1 22/27, 2nd number: 1 3/42
49/27 + 45/42 is 1091/378.
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,
49/27 = 49 × 14/27 × 14 = 686/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
45/42 = 45 × 9/42 × 9 = 405/378 - Add the two like fractions:
686/378 + 405/378 = 686 + 405/378 = 1091/378 - So, 49/27 + 45/42 = 1091/378
In mixed form: 2335/378
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