Add 35/9 and 30/16
1st number: 3 8/9, 2nd number: 1 14/16
35/9 + 30/16 is 415/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
35/9 = 35 × 16/9 × 16 = 560/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
30/16 = 30 × 9/16 × 9 = 270/144 - Add the two like fractions:
560/144 + 270/144 = 560 + 270/144 = 830/144 - 830/144 simplified gives 415/72
- So, 35/9 + 30/16 = 415/72
In mixed form: 555/72
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