What is 5.0274 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 5.0274 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 5.0274 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.

5.0274 as a fraction equals 50274/10000 or 25137/5000

Now let's break down the steps for converting 5.0274 into a fraction.

Step 1:

First, we express 5.0274 as a fraction by placing it over 1:
5.0274/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
5.0274 x 10000/1 x 10000
  =  
50274/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 50274 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 50274 are: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 378 399 441 513 798 882 931 1026 1197 1323 1862 2394 2646 2793 3591 5586 7182 8379 16758 25137 50274
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 50274 and 10000 is: 2

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 2 in this case.
50274 ÷ 2/10000 ÷ 2
  =  
25137/5000


Great Work! We've just determined that 5.0274 as a fraction equals 50274/10000 or 25137/5000 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 are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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.

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.


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

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



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