What is .875 as a fraction?

General
1

What is .875 as a fraction?

2

What is .875 as a fraction?

Answer: To convert the decimal 0.875 to a fraction, follow these steps:

Step 1: Understand the Place Value

0.875 has three digits after the decimal point, which places it in the thousandths place. This means it can be written as:

0.875 = \frac{875}{1000}

Step 2: Simplify the Fraction

To simplify \frac{875}{1000}, we need to find the greatest common divisor (GCD) of 875 and 1000.

  1. Prime Factorization:

    • Prime factorization of 875:
      875 = 5^3 \times 7
    • Prime factorization of 1000:
      1000 = 2^3 \times 5^3

  2. Identify the GCD:

    • The common factors are 5^3, so the GCD is 125.

  3. Divide both the numerator and the denominator by the GCD:

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

Conclusion

Therefore, the decimal 0.875 as a simplified fraction is:

\boxed{\frac{7}{8}}

By following these steps, you’ve successfully converted the decimal 0.875 into its fraction form and simplified it.