What is 5.52672 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 5.52672 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 5.52672 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.

5.52672 as a fraction equals 552672/100000 or 17271/3125

Now let's break down the steps for converting 5.52672 into a fraction.

Step 1:

First, we express 5.52672 as a fraction by placing it over 1:
5.52672/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
5.52672 x 100000/1 x 100000
  =  
552672/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 552672 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 552672 are: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 101 114 144 152 171 202 228 288 303 304 342 404 456 606 608 684 808 909 912 1212 1368 1616 1818 1824 1919 2424 2736 3232 3636 3838 4848 5472 5757 7272 7676 9696 11514 14544 15352 17271 23028 29088 30704 34542 46056 61408 69084 92112 138168 184224 276336 552672
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 552672 and 100000 is: 32

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 32 in this case.
552672 ÷ 32/100000 ÷ 32
  =  
17271/3125


Great Work! We've just determined that 5.52672 as a fraction equals 552672/100000 or 17271/3125 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 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 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.

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.

Use Study.com for an entertaining video lesson approach.

For fun game based learning try Prodigy Math.

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



© www.asafraction.net