Add 4/9 and 21/35
4/9 + 21/35 is 47/45.
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,
21/35 = 21 × 9/35 × 9 = 189/315 - Add the two like fractions:
140/315 + 189/315 = 140 + 189/315 = 329/315 - 329/315 simplified gives 47/45
- So, 4/9 + 21/35 = 47/45
In mixed form: 12/45
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