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What is 825 as a fraction?

Converting integers to fractions can be useful in many situations. Let's go through the steps to convert a decimal 825 to a fraction.

You can try other values to get more familiar with the conversion process.

Often, convert 815 to a fraction or 827 to a fraction, depending on the task.

Understanding the integer “825”

An integer is a whole number without any decimal or fractional parts. For example, 825 is an integer.

To convert an integer to a fraction:

  1. Use the integer as the numerator and 1 as the denominator.
  2. For example, 825 becomes 825/1.
  3. That's it! 825 is the same as 825/1 as a fraction.

Conversion Explanation:

  1. For the numerator:
    • We start with the number 825.
    • By removing the decimal point, we derive the numerator as 825.
  2. For the denominator:
    • Each position after the decimal represents a division by 10.
    • Thus, having 0 positions after the decimal equates to 1 or 100.
  3. Factors:
    • The factors for the numerator and the denominator are numbers that can evenly divide each of them.
    • For instance, the factors of 825 include 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, and 825.
    • The factors of 1 comprise , and 1.
  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 825 and 1 is 1.

The factors of 825 are:

1 3 5 11 15 25 33 55 75 165 275 825

The factors of 1 are:

1

Solution:

825 = 8251

What is a decimal?

A decimal is a numeral system that includes a point to separate the whole number part from the fractional part. This system makes it easy to work with numbers less than one.

What is a fraction?

A fraction is a mathematical way of showing a part of a whole. It has two parts: the numerator on top and the denominator below, which help express partial values and comparisons.

To convert an integer to a fraction:

  • Convert the fraction: To convert an integer into a fraction, place the integer in the numerator and use 1 as the denominator. For example, the integer 825 becomes the fraction 8251.

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