Add 16/27 and 21/42
16/27 + 21/42 is 59/54.
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,
16/27 = 16 × 14/27 × 14 = 224/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
21/42 = 21 × 9/42 × 9 = 189/378 - Add the two like fractions:
224/378 + 189/378 = 224 + 189/378 = 413/378 - 413/378 simplified gives 59/54
- So, 16/27 + 21/42 = 59/54
In mixed form: 15/54
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