What is 5.6375 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 5.6375 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 5.6375 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.

5.6375 as a fraction equals 56375/10000 or 451/80

Now let's break down the steps for converting 5.6375 into a fraction.

Step 1:

First, we express 5.6375 as a fraction by placing it over 1:
5.6375/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
5.6375 x 10000/1 x 10000
  =  
56375/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 56375 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 56375 are: 1 5 11 25 41 55 125 205 275 451 1025 1375 2255 5125 11275 56375
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 56375 and 10000 is: 125

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 125 in this case.
56375 ÷ 125/10000 ÷ 125
  =  
451/80


Great Work! We've just determined that 5.6375 as a fraction equals 56375/10000 or 451/80 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 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.

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 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.

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

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

For a self-study courses for Algebra. We recommend Purple Math.



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