What is 3.1512 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.1512 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 3.1512 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.

3.1512 as a fraction equals 31512/10000 or 3939/1250

Now let's break down the steps for converting 3.1512 into a fraction.

Step 1:

First, we express 3.1512 as a fraction by placing it over 1:

3.1512/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

3.1512 x 10000/1 x 10000

31512/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 31512 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 31512 are: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 202 303 312 404 606 808 1212 1313 2424 2626 3939 5252 7878 10504 15756 31512
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 31512 and 10000 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.

31512 ÷ 8/10000 ÷ 8

3939/1250

Great Work! We've just determined that 3.1512 as a fraction equals 31512/10000 or 3939/1250 in its simplest form.

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Examples of converting decimals to fractions

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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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example ²/₃

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 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 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 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.

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 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.

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