Add 30/35 and 20/9
1st number: 30/35, 2nd number: 2 2/9
30/35 + 20/9 is 194/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
30/35 = 30 × 9/35 × 9 = 270/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
20/9 = 20 × 35/9 × 35 = 700/315 - Add the two like fractions:
270/315 + 700/315 = 270 + 700/315 = 970/315 - 970/315 simplified gives 194/63
- So, 30/35 + 20/9 = 194/63
In mixed form: 35/63
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