[tex]\text{The sum of } 1\frac{7}{10} \text{ and } 3\frac{3}{5} \text{ is } 5\frac{3}{10}[/tex]
Solution:
Given that we have to find the sum of [tex]1\frac{7}{10} \text{ and } 3\frac{3}{5}[/tex]
Let us first convert the mixed fractions to improper fractions
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator
Therefore,
[tex]1\frac{7}{10} = \frac{10 \times 1 + 7}{10} = \frac{10+7}{10} = \frac{17}{10}\\\\3\frac{3}{5} = \frac{5 \times 3 + 3}{5} = \frac{18}{5}[/tex]
Now we can add both the fractions
[tex]1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18}{5}[/tex]
Make the denominators same
[tex]1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18 \times 2}{5 \times 2}\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{36}{10}\\\\\text{Add the fractions since the denominator is same }\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17+36}{10} = \frac{53}{10}[/tex]
Now convert the fraction to mixed number
When we divide 53 by 10 , the remainder is 3
Therefore, write 5 as a whole number and and 3 as numerator and 10 as denominator
[tex]\frac{53}{10} = 5\frac{3}{10}[/tex]
Thus the sum of given mixed fraction is [tex]5\frac{3}{10}[/tex]
