Add 8/9 and 36/42
8/9 + 36/42 is 110/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
8/9 = 8 × 14/9 × 14 = 112/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
36/42 = 36 × 3/42 × 3 = 108/126 - Add the two like fractions:
112/126 + 108/126 = 112 + 108/126 = 220/126 - 220/126 simplified gives 110/63
- So, 8/9 + 36/42 = 110/63
In mixed form: 147/63
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