How do you add #2\frac { 3} { 5}+ 5\frac { 3} { 10}#?

Adding that, you add the numerators and copy the denominators. Then add the whole numbers. You get

To add 2\frac { 3} { 5}+ 5\frac { 3} { 10}, first convert the mixed numbers to improper fractions if necessary. Then add the fractions together. Finally, if possible, simplify the resulting fraction.

2\frac { 3} { 5} = \frac { 10} { 5} + \frac { 3} { 5} = \frac { 13} { 5}

5\frac { 3} { 10} = \frac { 50} { 10} + \frac { 3} { 10} = \frac { 53} { 10}

Now, add the fractions:

\frac { 13} { 5} + \frac { 53} { 10}

To add fractions with different denominators, find a common denominator. The least common denominator (LCD) of 5 and 10 is 10.

\frac { 13} { 5} + \frac { 53} { 10} = \frac { 26} { 10} + \frac { 53} { 10}

Now, add the numerators:

\frac { 26 + 53} { 10} = \frac { 79} { 10}

Therefore, 2\frac { 3} { 5}+ 5\frac { 3} { 10} = \frac { 79} { 10}

To add (2\frac{3}{5} + 5\frac{3}{10}), first convert both mixed numbers to improper fractions. Then add the fractions together. Finally, simplify the result if needed.

(2\frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{13}{5})

(5\frac{3}{10} = \frac{5 \times 10 + 3}{10} = \frac{53}{10})

Now, add the two fractions:

(\frac{13}{5} + \frac{53}{10})

To add fractions with different denominators, first find a common denominator, which is the least common multiple (LCM) of 5 and 10, which is 10.

(\frac{13}{5} = \frac{13 \times 2}{5 \times 2} = \frac{26}{10})

(\frac{53}{10}) remains the same.

Now add:

(\frac{26}{10} + \frac{53}{10} = \frac{26 + 53}{10} = \frac{79}{10})

Finally, convert the improper fraction back to a mixed number:

(\frac{79}{10} = 7\frac{9}{10})

So, (2\frac{3}{5} + 5\frac{3}{10} = 7\frac{9}{10}).