Add 4/9 and 30/35
4/9 + 30/35 is 82/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
4/9 = 4 × 35/9 × 35 = 140/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
30/35 = 30 × 9/35 × 9 = 270/315 - Add the two like fractions:
140/315 + 270/315 = 140 + 270/315 = 410/315 - 410/315 simplified gives 82/63
- So, 4/9 + 30/35 = 82/63
In mixed form: 119/63
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