Question

Brigid is building a table with her mom as a weekend project. She needs 5.875 feet of wood. What is this amount as a fraction?(1 point) Do not get this worng or else

Answer 1

it is incorrect

Answer 2

To convert the decimal 5.875 into a fraction, you can follow these steps:

1. **Separate the whole number from the decimal**:
The whole number is 5, and the decimal part is 0.875.

2. **Convert 0.875 into a fraction**:
0.875 can be expressed as \( \frac{875}{1000} \).

3. **Simplify the fraction**:
Both 875 and 1000 can be divided by 125:
\[
\frac{875 \div 125}{1000 \div 125} = \frac{7}{8}
\]

4. **Combine the whole number with the fraction**:
Therefore, 5.875 can be expressed as:
\[
5 + \frac{7}{8} = \frac{5 \times 8 + 7}{8} = \frac{40 + 7}{8} = \frac{47}{8}
\]

So, 5.875 feet as a fraction is \( \frac{47}{8} \).

Answer 3

I apologize for any confusion in my previous response. Let's go through the conversion of 5.875 feet into a fraction carefully.

1. **Convert the decimal to a fraction**:
The number 5.875 can be split into its whole number and decimal parts:
- Whole number: 5
- Decimal part: 0.875

2. **Convert 0.875 into a fraction**:
- 0.875 is the same as \( \frac{875}{1000} \).

3. **Simplify \( \frac{875}{1000} \)**:
Divide both the numerator and denominator by their greatest common divisor (GCD), which is 125.

\[
\frac{875 \div 125}{1000 \div 125} = \frac{7}{8}
\]

4. **Combine the whole number with the fraction**:
The whole number part (5) can be converted to a fraction with a denominator of 8:
\[
5 = \frac{5 \times 8}{8} = \frac{40}{8}
\]

Now add this fraction to \( \frac{7}{8} \):
\[
\frac{40}{8} + \frac{7}{8} = \frac{40 + 7}{8} = \frac{47}{8}
\]

Thus, the correct representation of 5.875 feet as a fraction is indeed \( \frac{47}{8} \).

If there is still a misunderstanding, please clarify what you are looking for, and I'll do my best to assist you!