What is 6.13725 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 6.13725 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 6.13725 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.

6.13725 as a fraction equals 613725/100000 or 24549/4000

Now let's break down the steps for converting 6.13725 into a fraction.

Step 1:

First, we express 6.13725 as a fraction by placing it over 1:
6.13725/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
6.13725 x 100000/1 x 100000
  =  
613725/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 613725 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 613725 are: 1 3 5 7 15 21 25 35 49 75 105 147 167 175 245 501 525 735 835 1169 1225 2505 3507 3675 4175 5845 8183 12525 17535 24549 29225 40915 87675 122745 204575 613725
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 613725 and 100000 is: 25

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 25 in this case.
613725 ÷ 25/100000 ÷ 25
  =  
24549/4000


Great Work! We've just determined that 6.13725 as a fraction equals 613725/100000 or 24549/4000 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 mixed numbers?

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

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.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

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%.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

Use Study.com for an entertaining video lesson approach.

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



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