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.

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Frequently asked math questions, including decimals and fractions

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

What are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.

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.

For personalized 1-1 lessons check out Preply.com.

Math Planet has customized math courses for high school students.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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