Add 40/9 and 5/35
1st number: 4 4/9, 2nd number: 5/35
40/9 + 5/35 is 289/63.
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,
40/9 = 40 × 35/9 × 35 = 1400/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
5/35 = 5 × 9/35 × 9 = 45/315 - Add the two like fractions:
1400/315 + 45/315 = 1400 + 45/315 = 1445/315 - 1445/315 simplified gives 289/63
- So, 40/9 + 5/35 = 289/63
In mixed form: 437/63
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