Add 36/42 and 2/9
36/42 + 2/9 is 68/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
36/42 = 36 × 3/42 × 3 = 108/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
2/9 = 2 × 14/9 × 14 = 28/126 - Add the two like fractions:
108/126 + 28/126 = 108 + 28/126 = 136/126 - 136/126 simplified gives 68/63
- So, 36/42 + 2/9 = 68/63
In mixed form: 15/63
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