What is 3.1875 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.1875 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 3.1875 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.

3.1875 as a fraction equals 31875/10000 or 51/16

Now let's break down the steps for converting 3.1875 into a fraction.

Step 1:

First, we express 3.1875 as a fraction by placing it over 1:

3.1875/1

Step 2:

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

3.1875 x 10000/1 x 10000

31875/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 31875 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 31875 are: 1 3 5 15 17 25 51 75 85 125 255 375 425 625 1275 1875 2125 6375 10625 31875
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 31875 and 10000 is: 625

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 625 in this case.

31875 ÷ 625/10000 ÷ 625

51/16

Great Work! We've just determined that 3.1875 as a fraction equals 31875/10000 or 51/16 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

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 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.

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 percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.

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.

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

Desmos.com has a focus on equation, functions and visual graphs.

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