To solve the problem of adding the fractions, we need to follow these steps:
1.
Identify the denominators: Ensure that the fractions have the same denominator. If they do, proceed to add the numerators.
2.
Add the numerators: Keep the denominator the same and add the numerators.
3.
Simplify the result: Reduce the fraction to its simplest form if possible.
Let's solve each problem step by step.
First Row:
1.
$\frac{1}{7} + \frac{5}{7}$
- Denominators are the same.
- Add the numerators: $1 + 5 = 6$.
- Result: $\frac{6}{7}$.
2.
$\frac{3}{10} + \frac{4}{10}$
- Denominators are the same.
- Add the numerators: $3 + 4 = 7$.
- Result: $\frac{7}{10}$.
3.
$\frac{3}{7} + \frac{2}{7}$
- Denominators are the same.
- Add the numerators: $3 + 2 = 5$.
- Result: $\frac{5}{7}$.
4.
$\frac{5}{9} + \frac{3}{9}$
- Denominators are the same.
- Add the numerators: $5 + 3 = 8$.
- Result: $\frac{8}{9}$.
Second Row:
5.
$\frac{4}{8} + \frac{4}{8}$
- Denominators are the same.
- Add the numerators: $4 + 4 = 8$.
- Simplify: $\frac{8}{8} = 1$.
- Result: $1$.
6.
$\frac{1}{4} + \frac{1}{4}$
- Denominators are the same.
- Add the numerators: $1 + 1 = 2$.
- Simplify: $\frac{2}{4} = \frac{1}{2}$.
- Result: $\frac{1}{2}$.
7.
$\frac{4}{14} + \frac{9}{14}$
- Denominators are the same.
- Add the numerators: $4 + 9 = 13$.
- Result: $\frac{13}{14}$.
8.
$\frac{7}{15} + \frac{4}{15}$
- Denominators are the same.
- Add the numerators: $7 + 4 = 11$.
- Result: $\frac{11}{15}$.
Third Row:
9.
$\frac{2}{16} + \frac{6}{16}$
- Denominators are the same.
- Add the numerators: $2 + 6 = 8$.
- Simplify: $\frac{8}{16} = \frac{1}{2}$.
- Result: $\frac{1}{2}$.
10.
$\frac{6}{17} + \frac{8}{17}$
- Denominators are the same.
- Add the numerators: $6 + 8 = 14$.
- Result: $\frac{14}{17}$.
11.
$\frac{3}{10} + \frac{2}{10}$
- Denominators are the same.
- Add the numerators: $3 + 2 = 5$.
- Simplify: $\frac{5}{10} = \frac{1}{2}$.
- Result: $\frac{1}{2}$.
12.
$\frac{2}{9} + \frac{4}{9}$
- Denominators are the same.
- Add the numerators: $2 + 4 = 6$.
- Simplify: $\frac{6}{9} = \frac{2}{3}$.
- Result: $\frac{2}{3}$.
Fourth Row:
13.
$\frac{4}{11} + \frac{6}{11}$
- Denominators are the same.
- Add the numerators: $4 + 6 = 10$.
- Result: $\frac{10}{11}$.
14.
$\frac{6}{21} + \frac{13}{21}$
- Denominators are the same.
- Add the numerators: $6 + 13 = 19$.
- Result: $\frac{19}{21}$.
15.
$\frac{16}{24} + \frac{6}{24}$
- Denominators are the same.
- Add the numerators: $16 + 6 = 22$.
- Simplify: $\frac{22}{24} = \frac{11}{12}$.
- Result: $\frac{11}{12}$.
16.
$\frac{15}{27} + \frac{3}{27}$
- Denominators are the same.
- Add the numerators: $15 + 3 = 18$.
- Simplify: $\frac{18}{27} = \frac{2}{3}$.
- Result: $\frac{2}{3}$.
Final Answer:
\[
\boxed{
\begin{array}{cccc}
\frac{6}{7} & \frac{7}{10} & \frac{5}{7} & \frac{8}{9} \\
1 & \frac{1}{2} & \frac{13}{14} & \frac{11}{15} \\
\frac{1}{2} & \frac{14}{17} & \frac{1}{2} & \frac{2}{3} \\
\frac{10}{11} & \frac{19}{21} & \frac{11}{12} & \frac{2}{3}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 4th grade math homework worksheet.
