What is 1.32946 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.32946 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 1.32946 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.

1.32946 as a fraction equals 132946/100000 or 66473/50000

Now let's break down the steps for converting 1.32946 into a fraction.

Step 1:

First, we express 1.32946 as a fraction by placing it over 1:
1.32946/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.32946 x 100000/1 x 100000
  =  
132946/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 132946 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 132946 are: 1 2 11 22 6043 12086 66473 132946
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 132946 and 100000 is: 2

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 2 in this case.
132946 ÷ 2/100000 ÷ 2
  =  
66473/50000


Great Work! We've just determined that 1.32946 as a fraction equals 132946/100000 or 66473/50000 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 are mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What are proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.

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.

For a structured learning approach with video lessons try the Khan Academy.

Math Planet has customized math courses for high school students.



© www.asafraction.net