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What is 840 as a fraction?

Converting integers to fractions can be useful in many situations. Let's go through the steps to convert a decimal 840 to a fraction.

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

Often, convert 835 to a fraction or 845 to a fraction, depending on the task.

Understanding the integer “840”

An integer is a whole number without any decimal or fractional parts. For example, 840 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, 840 becomes 840/1.
  3. That's it! 840 is the same as 840/1 as a fraction.

Conversion Explanation:

  1. For the numerator:
    • We start with the number 840.
    • By removing the decimal point, we derive the numerator as 840.
  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 840 include 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, and 840.
    • 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 840 and 1 is 1.

The factors of 840 are:

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840

The factors of 1 are:

1

Solution:

840 = 8401

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 840 becomes the fraction 8401.

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