What is 5.21472 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 5.21472 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 5.21472 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.

5.21472 as a fraction equals 521472/100000 or 16296/3125

Now let's break down the steps for converting 5.21472 into a fraction.

Step 1:

First, we express 5.21472 as a fraction by placing it over 1:

5.21472/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

5.21472 x 100000/1 x 100000

521472/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 521472 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 521472 are: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 128 168 192 194 224 256 291 336 384 388 448 582 672 679 768 776 896 1164 1344 1358 1552 1792 2037 2328 2688 2716 3104 4074 4656 5376 5432 6208 8148 9312 10864 12416 16296 18624 21728 24832 32592 37248 43456 65184 74496 86912 130368 173824 260736 521472
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 521472 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.

521472 ÷ 32/100000 ÷ 32

16296/3125

Great Work! We've just determined that 5.21472 as a fraction equals 521472/100000 or 16296/3125 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:

Examples of converting decimals to fractions

Practice makes perfect! Build your skills in converting decimals to fractions by following these step by step examples:

Frequently asked math questions, including decimals and fractions

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

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 is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 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 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 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.

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

For fun game based learning try Prodigy Math.

Desmos.com has a focus on equation, functions and visual graphs.