What is the fractional equivalent of 2.125?(1 point)

Responses

218
2 Start Fraction 1 over 8 End Fraction

216
2 Start Fraction 1 over 6 End Fraction

128
1 Start Fraction 2 over 8 End Fraction

238

1 answer

To convert the decimal 2.125 to a fraction, we can follow these steps:

  1. Separate the whole number from the decimal part:

    • The whole number is 2.
    • The decimal part is 0.125.
  2. Convert the decimal part to a fraction:

    • 0.125 can be written as \( \frac{125}{1000} \).
    • Simplify \( \frac{125}{1000} \):
      • Both the numerator and the denominator can be divided by 125.
      • \( \frac{125 \div 125}{1000 \div 125} = \frac{1}{8} \).
  3. Combine the whole number with the fractional part:

    • Combine \( 2 \) and \( \frac{1}{8} \):
    • \( 2 + \frac{1}{8} = \frac{16}{8} + \frac{1}{8} = \frac{17}{8} \).

Therefore, the fractional equivalent of 2.125 is \( \frac{17}{8} \).

Looking at the provided responses, the correct answer is: 2 Start Fraction 1 over 8 End Fraction.