What is 1.32944 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.32944 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 1.32944 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.

1.32944 as a fraction equals 132944/100000 or 8309/6250

Now let's break down the steps for converting 1.32944 into a fraction.

Step 1:

First, we express 1.32944 as a fraction by placing it over 1:
1.32944/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.32944 x 100000/1 x 100000
  =  
132944/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 132944 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 132944 are: 1 2 4 7 8 14 16 28 56 112 1187 2374 4748 8309 9496 16618 18992 33236 66472 132944
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 132944 and 100000 is: 16

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 16 in this case.
132944 ÷ 16/100000 ÷ 16
  =  
8309/6250


Great Work! We've just determined that 1.32944 as a fraction equals 132944/100000 or 8309/6250 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 imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

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 a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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.

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%.


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 Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

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



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