Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

## Sagot :

1.

**Convert the mixed number to an improper fraction:**

[tex]\( 3 \frac{2}{3} \)[/tex] can be converted to an improper fraction by multiplying the whole number part by the denominator and then adding the numerator. So:

[tex]\[ 3 \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{9 + 2}{3} = \frac{11}{3} \][/tex]

2.

**Convert the repeating decimal to a fraction:**

The repeating decimal [tex]\( 2.\overline{3} \)[/tex] (which means [tex]\( 2.3333... \)[/tex]) can be represented as a fraction. A repeating decimal of the form [tex]\( a.bc\overline{d} \)[/tex] can be represented where [tex]\( d \)[/tex] repeats. For [tex]\( 2.\overline{3} \)[/tex]:

[tex]\[ 2.\overline{3} = 2 + 0.\overline{3} \][/tex]

The decimal [tex]\( 0.\overline{3} \)[/tex] is equivalent to [tex]\( \frac{1}{3} \)[/tex]. Therefore:

[tex]\[ 2.\overline{3} = 2 + \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3} \][/tex]

3.

**Sum the improper fractions:**

Now, we need to add the two improper fractions [tex]\( \frac{11}{3} \)[/tex] and [tex]\( \frac{7}{3} \)[/tex]:

[tex]\[ \frac{11}{3} + \frac{7}{3} = \frac{11 + 7}{3} = \frac{18}{3} \][/tex]

4.

**Simplify the resulting fraction:**

Simplify [tex]\( \frac{18}{3} \)[/tex] by dividing the numerator by the denominator:

[tex]\[ \frac{18}{3} = 6 \][/tex]

Therefore, the answer is 6.

So [tex]\( 3 \frac{2}{3} + 2 \overline{3} = 6 \)[/tex].