Question

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)

Answer 1

To convert the decimal 5.875 to a fraction, we can break it down as follows:

1. The whole number part is 5.
2. The decimal part is 0.875.

Now, to convert 0.875 to a fraction:

• 0.875 can be expressed as \( \frac{875}{1000} \).

Next, we simplify \( \frac{875}{1000} \):

• Both 875 and 1000 can be divided by 125.
• \( 875 \div 125 = 7 \)
• \( 1000 \div 125 = 8 \)

Thus, \( \frac{875}{1000} \) simplifies to \( \frac{7}{8} \).

Now we can combine the whole number and the fraction:

• So, \( 5.875 = 5 + \frac{7}{8} \).

This can be written as an improper fraction:

• \( 5 = \frac{40}{8} \) (since \( 5 \times 8 = 40 \)).
• Therefore, \( 5 + \frac{7}{8} = \frac{40}{8} + \frac{7}{8} = \frac{47}{8} \).

So, the amount of wood Brigid needs, expressed as a fraction, is \( \frac{47}{8} \).