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What is 1200 as a fraction?

Converting integers to fractions can be useful in many situations. Let's go through the steps to convert a decimal 1200 to a fraction.

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

Often, convert 1125 to a fraction or 1250 to a fraction, depending on the task.

Understanding the integer “1200”

An integer is a whole number without any decimal or fractional parts. For example, 1200 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, 1200 becomes 1200/1.
  3. That's it! 1200 is the same as 1200/1 as a fraction.

Conversion Explanation:

  1. For the numerator:
    • We start with the number 1200.
    • By removing the decimal point, we derive the numerator as 1200.
  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 1200 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, and 1200.
    • 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 1200 and 1 is 1.

The factors of 1200 are:

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200

The factors of 1 are:

1

Solution:

1200 = 12001

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 1200 becomes the fraction 12001.

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