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

3 answers

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 \( \frac{47}{8} \).

it is incorrect

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!