Add 35/9 and 75/35
1st number: 3 8/9, 2nd number: 2 5/35
35/9 + 75/35 is 380/63.
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,
35/9 = 35 × 35/9 × 35 = 1225/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
75/35 = 75 × 9/35 × 9 = 675/315 - Add the two like fractions:
1225/315 + 675/315 = 1225 + 675/315 = 1900/315 - 1900/315 simplified gives 380/63
- So, 35/9 + 75/35 = 380/63
In mixed form: 62/63
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