Question

Using the properties of equality, find the solution to the 2f
equation
5
8 + 2f = 8.
(1 point)
12
16
6
8
3
4

Answer 1

To solve the equation \( \frac{5}{8} + 2f = 8 \), we can follow these steps using the properties of equality:

1. **Isolate \( 2f \)**: Start by subtracting \( \frac{5}{8} \) from both sides of the equation.
\[
2f = 8 - \frac{5}{8}
\]

2. **Convert 8 to a fraction with a denominator of 8**: Since \( 8 \) can be expressed as \( \frac{64}{8} \), we rewrite the equation:
\[
2f = \frac{64}{8} - \frac{5}{8}
\]

3. **Combine the fractions**: Subtract the fractions on the right-hand side.
\[
2f = \frac{64 - 5}{8} = \frac{59}{8}
\]

4. **Isolate \( f \)**: Divide both sides by 2 to solve for \( f \).
\[
f = \frac{59}{8} \div 2
\]
This can be expressed as:
\[
f = \frac{59}{16}
\]

Since \( \frac{59}{16} \) is not in the options you've provided, we must look again at the options or reinterpret them. However, if the goal is to solve for \( f \):

The most accurate calculation provides \( f = \frac{59}{16} \), which is approximately 3.6875.

If you have further technical instructions regarding the options provided, please share!