What is 1.3132 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.3132 into a fraction. We will start by understanding how a decimal represents the fractional part of a number, then break down the steps to rewrite 1.3132 as a fraction. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the results are in the simplest form.

By the end of this guide, you should have a good understanding of decimal to fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.

1.3132 as a fraction equals 13132/10000 or 3283/2500

Now let's break down the steps for converting 1.3132 into a fraction.

Step 1:

First, we express 1.3132 as a fraction by placing it over 1:
1.3132/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.3132 x 10000/1 x 10000
  =  
13132/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 13132 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 13132 are: 1 2 4 7 14 28 49 67 98 134 196 268 469 938 1876 3283 6566 13132
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 13132 and 10000 is: 4

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which we calculated in the previous step. The GCF value is 4 in this case.
13132 ÷ 4/10000 ÷ 4
  =  
3283/2500


Great Work! We've just determined that 1.3132 as a fraction equals 13132/10000 or 3283/2500 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:



Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

What is an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


Educational math links

There are numerous online resources available (some free and some paid) for learning math including decimals and fractions. These range from interactive games to in-depth courses and lessons. We recommend these websites as a valuable resource for students of all skill levels.

Use Study.com for an entertaining video lesson approach.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



© www.asafraction.net