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What is 390 as a fraction?

Converting integers to fractions can be useful in many situations. Let's go through the steps to convert a decimal 390 to a fraction.

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

Often, convert 386 to a fraction or 393 to a fraction, depending on the task.

Understanding the integer “390”

An integer is a whole number without any decimal or fractional parts. For example, 390 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, 390 becomes 390/1.
  3. That's it! 390 is the same as 390/1 as a fraction.

Conversion Explanation:

  1. For the numerator:
    • We start with the number 390.
    • By removing the decimal point, we derive the numerator as 390.
  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 390 include 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, and 390.
    • 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 390 and 1 is 1.

The factors of 390 are:

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390

The factors of 1 are:

1

Solution:

390 = 3901

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 390 becomes the fraction 3901.

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