Respuesta :
Answer:
14 whole 4/9
Step-by-step explanation:
29/3+43/9
87/9+43/9
130/9=14 whole 4/9
Answer: 14 & 4/9 or [tex]14 \frac{4}{9}[/tex]
This is a mixed number.
The whole part is 14. The fractional part is 4/9.
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Work Shown:
2/3 is the same as 6/9 after you multiply top and bottom by 3
So,
[tex]\frac{2}{3} = \frac{6}{9}\\\\\text{ and} \\\\9 \frac{2}{3} = 9\frac{6}{9}[/tex]
meaning we are wanting to find [tex]9\frac{6}{9}+ 4\frac{7}{9}[/tex]
Add the fractional portions
6/9 + 7/9 = (6+7)/9 = 13/9
and add the whole number portions as well
9+4 = 13
This means,
[tex]9\frac{6}{9}+4\frac{7}{9} = 13\frac{13}{9}[/tex]
Now let's convert the improper fraction 13/9 into a mixed number and simplify,
[tex]13\frac{13}{9} = 13 + \frac{13}{9}\\\\13\frac{13}{9} = 13 + \frac{9+4}{9}\\\\13\frac{13}{9} = 13 + \frac{9}{9}+\frac{4}{9}\\\\13\frac{13}{9} = 13 + 1+\frac{4}{9}\\\\13\frac{13}{9} = 14+\frac{4}{9}\\\\13\frac{13}{9} = 14\frac{4}{9}\\\\[/tex]
