What is 13 20 as a fraction?

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Are you looking to calculate how to simplify the fraction 13/20? In this really simple guide, we'll teach you exactly how to simplify 13/20 and convert it to the lowest form (this is sometimes calling reducing a fraction to the lowest terms).

To start with, the number above the line (13) in a fraction is called a numerator and the number below the line (20) is called the denominator.

So what we want to do here is to simplify the numerator and denominator in 13/20 to their lowest possible values, while keeping the actual fraction the same.

To do this, we use something called the greatest common factor. It's also known as the greatest common divisor and put simply, it's the highest number that divides exactly into two or more numbers.

In our case with 13/20, the greatest common factor is 1. Once we have this, we can divide both the numerator and the denominator by it, and voila, the fraction is simplified:

13/1 = 13

20/1 = 20

As you can see, 13/20 cannot be simplified any further, so the result is the same as we started with. Not very exciting, I know, but hopefully you have at least learned why it cannot be simplified any further!

So there you have it! You now know exactly how to simplify 13/20 to its lowest terms. Hopefully you understood the process and can use the same techniques to simplify other fractions on your own. The complete answer is below:

Convert 13/20 to Decimal

Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

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Preset List of Fraction Reduction Examples

Below are links to some preset calculations that are commonly searched for:

Random Fraction Simplifier Problems

If you made it this far down the page then you must REALLY love simplifying fractions? Below are a bunch of randomly generated calculations for your fraction loving pleasure:

Two frations are equivalent when they have the same value when written in lowest terms. The fraction 26/40 is equal to 13/20 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (13/20) by any interger number, ie, multiply by 2, 3, 10, 30 ...

• 26/40 is equivalent to 13/20 because 13 x 2 = 26 and 20 x 2 = 40
• 39/60 is equivalent to 13/20 because 13 x 3 = 39 and 20 x 3 = 60
• 52/80 is equivalent to 13/20 because 13 x 3 = 52 and 20 x 3 = 80

Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value. If any fraction is not reduced to lowest terms, you can get other equivalent fractions just dividing both numerator and denominator by the same number.

Just use this Rule:

Two fractions are equivalent if we

1) multiply the numerator of fraction 1 by the denominator of the fraction 2

and get the same value when we

2) multiply the denominator of fraction 1 by the numerator of the fraction 2.

This process is called cross-multiplication.

Here are some examples:

• 26/40 is equivalent to 13/20 because 26 x 20 = 40 x 13 = 520
• 39/60 is equivalent to 13/20 because 39 x 20 = 60 x 13 = 780
• 52/80 is equivalent to 13/20 because 52 x 20 = 80 x 13 = 1040

...

Equivalent Fractions Calculator

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Here is the answer to questions like: 13/20 or What numbers are equivalent to 13/20?

This Equivalent Fractions Calculator will show you, step-by-step, equivalent fractions to any fraction you input.

See below the step-by-step solution on how to find equivalent fractions.

Two fractions are equivalent when they are both equal when written in lowest terms. The fraction 2640 is equal to 1320 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (1320) by the same natural number, ie, multiply by 2, 3, 4, 5, 6 ...

Important: 1320 looks like a fraction, but it is actually an improper fraction.

• 2640 is equivalent to 1320 because 13 × 220 × 2 = 2640
• 3960 is equivalent to 1320 because 13 × 320 × 3 = 3960
• 5280 is equivalent to 1320 because 13 × 420 × 4 = 5280
• 65100 is equivalent to 1320 because 13 × 520 × 5 = 65100
• and so on ...

At a glance, equivalent fractions look different, but if you reduce then to the lowest terms you will get the same value showing that they are equivalent. If a given fraction is not reduced to lowest terms, you can find other equivalent fractions by dividing both numerator and denominator by the same number.

Finding equivalent fractions can be ease if you use this rule:

Equivalent fractions definition: two fractions ab and cd are equivalent only if the product (multiplication) of the numerator (a) of the first fraction and the denominator (d) of the other fraction is equal to the product of the denominator (b) of the first fraction and the numerator (c) of the other fraction.

In other words, if you cross-multiply (ab and cd) the equality will remain, i.e, a.d = b.c. So, here are some examples:

• 2640 is equivalent to 1320 because 26 × 20 = 40 × 13 = 520
• 3960 is equivalent to 1320 because 39 × 20 = 60 × 13 = 780
• 5280 is equivalent to 1320 because 52 × 20 = 80 × 13 = 1040

This Equivalent Fractions Table/Chart contains common practical fractions. You can easily convert from fraction to decimal, as well as, from fractions of inches to millimeters.

Reference:

• [1] How to Find Equivalent Fractions

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