What is 0.04315 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.04315 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 0.04315 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.

0.04315 as a fraction equals 4315/100000 or 863/20000

Now let's break down the steps for converting 0.04315 into a fraction.

Step 1:

First, we express 0.04315 as a fraction by placing it over 1:
0.04315/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.04315 x 100000/1 x 100000
  =  
4315/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 4315 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 4315 are: 1 5 863 4315
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 4315 and 100000 is: 5

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 5 in this case.
4315 ÷ 5/100000 ÷ 5
  =  
863/20000


Great Work! We've just determined that 0.04315 as a fraction equals 4315/100000 or 863/20000 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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.

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.

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.

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.

Math Planet has customized math courses for high school students.



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