What is 3.17512 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.17512 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 3.17512 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.

3.17512 as a fraction equals 317512/100000 or 39689/12500

Now let's break down the steps for converting 3.17512 into a fraction.

Step 1:

First, we express 3.17512 as a fraction by placing it over 1:
3.17512/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.17512 x 100000/1 x 100000
  =  
317512/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 317512 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 317512 are: 1 2 4 8 13 26 43 52 71 86 104 142 172 284 344 559 568 923 1118 1846 2236 3053 3692 4472 6106 7384 12212 24424 39689 79378 158756 317512
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 317512 and 100000 is: 8

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 8 in this case.
317512 ÷ 8/100000 ÷ 8
  =  
39689/12500


Great Work! We've just determined that 3.17512 as a fraction equals 317512/100000 or 39689/12500 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 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 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 decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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.

Use Study.com for an entertaining video lesson approach.

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

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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