Add 36/42 and 4/9
36/42 + 4/9 is 82/63.
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,
4/9 = 4 × 14/9 × 14 = 56/126 - Add the two like fractions:
108/126 + 56/126 = 108 + 56/126 = 164/126 - 164/126 simplified gives 82/63
- So, 36/42 + 4/9 = 82/63
In mixed form: 119/63
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