Brigid is building a table with her mom as a weekend project. She needs 5.875

Question

feet of wood. What is this amount as a fraction? Express your answer as a fraction in simplified form.(1 point)

Answer 1

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

1. Break down the decimal: \[ 5.875 = 5 + 0.875 \]

2. Convert 0.875 into a fraction:

   • Recognize that \( 0.875 \) is equal to \( \frac{875}{1000} \) since there are three digits after the decimal.
   • Now simplify \( \frac{875}{1000} \).

3. Simplifying \( \frac{875}{1000} \):

   • Both the numerator and the denominator can be divided by 125: \[ 875 \div 125 = 7 \ 1000 \div 125 = 8 \]
   • Thus, \( \frac{875}{1000} = \frac{7}{8} \).

4. Combine the integer part with the fraction: \[ 5 + \frac{7}{8} = \frac{5 \cdot 8 + 7}{8} = \frac{40 + 7}{8} = \frac{47}{8}. \]

5. Final answer: The amount of wood Brigid needs, in simplified fraction form, is: \[ \boxed{\frac{47}{8}}. \]