What is 0.625 as a fraction?

Converting decimals to fractions may be useful in life. Let's walk through the process of converting a decimal 0.625 to a fraction.

You can select other values to familiarize yourself with the conversion guide.

Often, convert 0.624 to a fraction or 0.626 to a fraction, depending on the task.

Understanding the decimal: “0.625”

A decimal number has an integer and fractional parts. The decimal point separates the two. The integer is to the left, the fraction to the right. For example, in 0.625, 0 is the integer and 625 is the fraction.

Conversion Explanation:

  1. For the numerator:
    • We start with the number 0.625.
    • By removing the decimal point, we derive the numerator as 625.
  2. For the denominator:
    • Each position after the decimal represents a division by 10.
    • Thus, having 3 positions after the decimal equates to 1000 or 103.
  3. Factors:
    • The factors for the numerator and the denominator are numbers that can evenly divide each of them.
    • For instance, the factors of 625 include 1, 5, 25, 125, and 625.
    • The factors of 1000 comprise 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000.
  4. Greatest Common Divisor (GCD):
    • It's the largest number that can evenly divide both the numerator and the denominator.
    • In this instance, the GCD for 625 and 1000 is 125.

The factors of 625 are:

1 5 25 125 625

The factors of 1000 are:

1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000

Conversion formula (equation):

0.625=0.6251=0.625 × 10001 × 1000=6251000=625÷1251000÷125=58

Solution:

0.625 = 58

What is a decimal?

A decimal is a numeral system with a point. This point divides the integer from its fractional part. It provides a straightforward way to express and work with values less than one.

What is a fraction?

A fraction is a mathematical expression of two parts: the numerator on top and the denominator below. It represents partial values, showcasing relationships or comparisons.

Step-by-step solution:

  • Step 1 Let's frame our decimal as a fraction over 1. This way we will make the next steps possible. 0.625 = 0.6251
  • Step 2: Decimals vary. Some are short; others are long. We will make the number of digits after the decimal point identical. For 0.625, we have three digits. This way we will increase our faction by a factor of 10 for each digit. Factor = 103 = 1000
  • Step 3: Taking our coefficient, we need to equalize both the numerator and the denominator. 0.625 × 10001 × 1000 = 6251000
  • Step 4: Now we need to cut back the 6251000. This requires seeking common divisors. Here, 125 our divisor, dividing both parts. 625 ÷ 1251000 ÷ 125 = 58

Answer in mixed fraction format:

0.625 =
5
8