Add 75/35 and 40/9
1st number: 2 5/35, 2nd number: 4 4/9
75/35 + 40/9 is 415/63.
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,
75/35 = 75 × 9/35 × 9 = 675/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
40/9 = 40 × 35/9 × 35 = 1400/315 - Add the two like fractions:
675/315 + 1400/315 = 675 + 1400/315 = 2075/315 - 2075/315 simplified gives 415/63
- So, 75/35 + 40/9 = 415/63
In mixed form: 637/63
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