Question

9 whole 2/3 + 4 whole 7/9=

Answer 1

Answer:

14 whole 4/9

Step-by-step explanation:

29/3+43/9

87/9+43/9

130/9=14 whole 4/9

Answer 2

Answer:  14 & 4/9  or $14 \frac{4}{9}$

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,

$\frac{2}{3} = \frac{6}{9}\\\\\text{ and} \\\\9 \frac{2}{3} = 9\frac{6}{9}$

meaning we are wanting to find $9\frac{6}{9}+ 4\frac{7}{9}$

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,

$9\frac{6}{9}+4\frac{7}{9} = 13\frac{13}{9}$

Now let's convert the improper fraction 13/9 into a mixed number and simplify,

$13\frac{13}{9} = 13 + \frac{13}{9}\\\\13\frac{13}{9} = 13 + \frac{9+4}{9}\\\\13\frac{13}{9} = 13 + \frac{9}{9}+\frac{4}{9}\\\\13\frac{13}{9} = 13 + 1+\frac{4}{9}\\\\13\frac{13}{9} = 14+\frac{4}{9}\\\\13\frac{13}{9} = 14\frac{4}{9}$