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a. add the fractions. \\(1\\frac{3}{6}\\)\ b. add the whole numbers. \\…

Question

a. add the fractions. \\(1\frac{3}{6}\\)\
b. add the whole numbers. \\(+2\frac{4}{6}\\)\
c. write the fraction as a mixed number.\
\\(\square\frac{\square}{\square} = \square\\)

Explanation:

Step 1: Add the fractional parts

The fractional parts are $\frac{3}{6}$ and $\frac{4}{6}$. To add them, we use the rule for adding fractions with the same denominator: $\frac{a}{c}+\frac{b}{c}=\frac{a + b}{c}$. So, $\frac{3}{6}+\frac{4}{6}=\frac{3 + 4}{6}=\frac{7}{6}$.

Step 2: Add the whole number parts

The whole number parts are $1$ and $2$. So, $1+2 = 3$.

Step 3: Combine the results and convert to a mixed number (if needed)

Now we add the result from the whole numbers and the result from the fractions: $3+\frac{7}{6}$. We can convert $3$ to sixths: $3=\frac{18}{6}$. Then, $\frac{18}{6}+\frac{7}{6}=\frac{18 + 7}{6}=\frac{25}{6}$. Now, convert $\frac{25}{6}$ to a mixed number. We divide $25$ by $6$: $25\div6 = 4$ with a remainder of $1$. So, $\frac{25}{6}=4\frac{1}{6}$.

Answer:

$4\frac{1}{6}$