Given:
The expressions are:
6. [tex]\dfrac{1}{4}+\dfrac{2}{4}=[/tex]
7. [tex]\dfrac{1}{2}+\dfrac{7}{10}=[/tex]
8. [tex]4\dfrac{9}{11}+7\dfrac{4}{11}=[/tex]
9. [tex]2\dfrac{1}{4}+2\dfrac{3}{4}=[/tex]
10. [tex]2\dfrac{1}{2}+3\dfrac{2}{4}=[/tex]
To find:
The simplified form after addition.
Solution:
6. We have,
[tex]\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{1+2}{4}[/tex]
[tex]\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}[/tex]
7. We have,
[tex]\dfrac{1}{2}+\dfrac{7}{10}=\dfrac{5+7}{10}[/tex]
[tex]\dfrac{1}{2}+\dfrac{7}{10}=\dfrac{12}{10}[/tex]
[tex]\dfrac{1}{2}+\dfrac{7}{10}=\dfrac{6}{5}[/tex]
8. We have,
[tex]4\dfrac{9}{11}+7\dfrac{4}{11}=\dfrac{53}{11}+\dfrac{81}{11}[/tex]
[tex]4\dfrac{9}{11}+7\dfrac{4}{11}=\dfrac{53+81}{11}[/tex]
[tex]4\dfrac{9}{11}+7\dfrac{4}{11}=\dfrac{134}{11}[/tex]
9. We have,
[tex]2\dfrac{1}{4}+2\dfrac{3}{4}=\dfrac{9}{4}+\dfrac{11}{4}[/tex]
[tex]2\dfrac{1}{4}+2\dfrac{3}{4}=\dfrac{9+11}{4}[/tex]
[tex]2\dfrac{1}{4}+2\dfrac{3}{4}=\dfrac{20}{4}[/tex]
[tex]2\dfrac{1}{4}+2\dfrac{3}{4}=5[/tex]
10. We have,
[tex]2\dfrac{1}{2}+3\dfrac{2}{4}=\dfrac{5}{2}+\dfrac{14}{4}[/tex]
[tex]2\dfrac{1}{2}+3\dfrac{2}{4}=\dfrac{10+14}{4}[/tex]
[tex]2\dfrac{1}{2}+3\dfrac{2}{4}=\dfrac{24}{4}[/tex]
[tex]2\dfrac{1}{2}+3\dfrac{2}{4}=6[/tex]
