Simplify: (5/10) + (3/5)

To simplify the expression ( \frac{5}{10} + \frac{3}{5} ), it is helpful to first convert ( \frac{5}{10} ) into its simplest form. Since both the numerator and the denominator can be divided by 5, ( \frac{5}{10} ) simplifies to ( \frac{1}{2} ).

Next, we need to add ( \frac{1}{2} ) and ( \frac{3}{5} ). To do this, we must have a common denominator. The denominators here are 2 and 5, and the least common multiple of these two numbers is 10.

Now, we convert both fractions to have a denominator of 10:

• For ( \frac{1}{2} ):

[

\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}

]

• For ( \frac{3}{5} ):

[

\frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac