Let's solve each of these fraction addition problems step by step. All the fractions in this worksheet have
like denominators, which means we can simply
add the numerators and keep the denominator the same.
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🔹 Step-by-step Solutions:
1.
$\frac{1}{7} + \frac{5}{7}$
$= \frac{1+5}{7} = \frac{6}{7}$
2.
$\frac{3}{10} + \frac{4}{10}$
$= \frac{3+4}{10} = \frac{7}{10}$
3.
$\frac{3}{7} + \frac{2}{7}$
$= \frac{3+2}{7} = \frac{5}{7}$
4.
$\frac{5}{9} + \frac{3}{9}$
$= \frac{5+3}{9} = \frac{8}{9}$
5.
$\frac{4}{8} + \frac{4}{8}$
$= \frac{4+4}{8} = \frac{8}{8} = 1$
6.
$\frac{1}{4} + \frac{1}{4}$
$= \frac{1+1}{4} = \frac{2}{4} = \frac{1}{2}$ *(simplified)*
7.
$\frac{4}{14} + \frac{9}{14}$
$= \frac{4+9}{14} = \frac{13}{14}$
8.
$\frac{7}{15} + \frac{4}{15}$
$= \frac{7+4}{15} = \frac{11}{15}$
9.
$\frac{2}{16} + \frac{6}{16}$
$= \frac{2+6}{16} = \frac{8}{16} = \frac{1}{2}$ *(simplified)*
10.
$\frac{6}{17} + \frac{8}{17}$
$= \frac{6+8}{17} = \frac{14}{17}$
11.
$\frac{3}{10} + \frac{2}{10}$
$= \frac{3+2}{10} = \frac{5}{10} = \frac{1}{2}$ *(simplified)*
12.
$\frac{2}{9} + \frac{4}{9}$
$= \frac{2+4}{9} = \frac{6}{9} = \frac{2}{3}$ *(simplified)*
13.
$\frac{4}{11} + \frac{6}{11}$
$= \frac{4+6}{11} = \frac{10}{11}$
14.
$\frac{6}{21} + \frac{13}{21}$
$= \frac{6+13}{21} = \frac{19}{21}$
15.
$\frac{16}{24} + \frac{6}{24}$
$= \frac{16+6}{24} = \frac{22}{24} = \frac{11}{12}$ *(simplified)*
16.
$\frac{15}{27} + \frac{3}{27}$
$= \frac{15+3}{27} = \frac{18}{27} = \frac{2}{3}$ *(simplified)*
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| $\frac{1}{7} + \frac{5}{7}$ | $\frac{6}{7}$ |
| $\frac{3}{10} + \frac{4}{10}$ | $\frac{7}{10}$ |
| $\frac{3}{7} + \frac{2}{7}$ | $\frac{5}{7}$ |
| $\frac{5}{9} + \frac{3}{9}$ | $\frac{8}{9}$ |
| $\frac{4}{8} + \frac{4}{8}$ | $1$ |
| $\frac{1}{4} + \frac{1}{4}$ | $\frac{1}{2}$ |
| $\frac{4}{14} + \frac{9}{14}$ | $\frac{13}{14}$ |
| $\frac{7}{15} + \frac{4}{15}$ | $\frac{11}{15}$ |
| $\frac{2}{16} + \frac{6}{16}$ | $\frac{1}{2}$ |
| $\frac{6}{17} + \frac{8}{17}$ | $\frac{14}{17}$ |
| $\frac{3}{10} + \frac{2}{10}$ | $\frac{1}{2}$ |
| $\frac{2}{9} + \frac{4}{9}$ | $\frac{2}{3}$ |
| $\frac{4}{11} + \frac{6}{11}$ | $\frac{10}{11}$ |
| $\frac{6}{21} + \frac{13}{21}$ | $\frac{19}{21}$ |
| $\frac{16}{24} + \frac{6}{24}$ | $\frac{11}{12}$ |
| $\frac{15}{27} + \frac{3}{27}$ | $\frac{2}{3}$ |
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💡 Key Concept:
When adding
fractions with the same denominator, just add the numerators and keep the denominator. Then simplify if possible.
Let me know if you'd like a printable version or help with subtraction or mixed numbers! 😊
Parent Tip: Review the logic above to help your child master the concept of gr 4 maths worksheets.
