Solution:
Given that,
We have to add mixed numbers like adding fractions and whole numbers
To add mixed numbers, we first add the whole numbers together, and then the fractions
For example, consider the mixed fractions,
[tex]3\frac{2}{5} \text{ and } 1\frac{3}{5}[/tex]
Here, denominators are same
Add the whole numbers
3 + 1 = 4
Add the fractions
[tex]\frac{2}{5} + \frac{3}{5} = \frac{5}{5} = 1[/tex]
Thus,
[tex]3\frac{2}{5} + 1\frac{3}{5} = 4 + 1 = 5[/tex]
Now consider the mixed fractions with different denominators
[tex]4\frac{1}{3} \text{ and } 3\frac{2}{5}[/tex]
Add the whole numbers
4 + 3 = 7
Add the fractions
[tex]\frac{1}{3} + \frac{2}{5}[/tex]
If the denominators of the fractions are different, then first find equivalent fractions with a common denominator before adding
[tex]\frac{1 \times 5}{3 \times 5} + \frac{2 \times 3}{5 \times 3} = \frac{5}{15} + \frac{6}{15} = \frac{11}{15}[/tex]
Thus,
[tex]4\frac{1}{3} + 3\frac{2}{5} = 7 \frac{11}{15}[/tex]
Thus, adding mixed numbers like adding fractions and whole numbers is explained
Answer:
Step-by-step explanation:the answer is 7 11/15 in mixed form but if you want it in improper fraction it is 33/15
