Step 1

Let us suppose the number be x.

The phrase ''The sum of \(\displaystyle{8}{\frac{{{3}}}{{{4}}}}\).'' means add the number x to \(\displaystyle{8}{\frac{{{3}}}{{{4}}}}\)

The following algebraic expression will be formed:

\(\displaystyle{x}+{8}{\frac{{{3}}}{{{4}}}}\)

\(\displaystyle={x}+{8}{\frac{{{3}}}{{{4}}}}\)

The algebraic expression is \(\displaystyle{x}+{8}{\frac{{{3}}}{{{4}}}}\).

Let us suppose the number be x.

The phrase ''The sum of \(\displaystyle{8}{\frac{{{3}}}{{{4}}}}\).'' means add the number x to \(\displaystyle{8}{\frac{{{3}}}{{{4}}}}\)

The following algebraic expression will be formed:

\(\displaystyle{x}+{8}{\frac{{{3}}}{{{4}}}}\)

\(\displaystyle={x}+{8}{\frac{{{3}}}{{{4}}}}\)

The algebraic expression is \(\displaystyle{x}+{8}{\frac{{{3}}}{{{4}}}}\).