What is 3.46875 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.46875 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 3.46875 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.

3.46875 as a fraction equals 346875/100000 or 111/32

Now let's break down the steps for converting 3.46875 into a fraction.

Step 1:

First, we express 3.46875 as a fraction by placing it over 1:

3.46875/1

Step 2:

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

3.46875 x 100000/1 x 100000

346875/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 346875 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 346875 are: 1 3 5 15 25 37 75 111 125 185 375 555 625 925 1875 2775 3125 4625 9375 13875 23125 69375 115625 346875
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 346875 and 100000 is: 3125

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 3125 in this case.

346875 ÷ 3125/100000 ÷ 3125

111/32

Great Work! We've just determined that 3.46875 as a fraction equals 346875/100000 or 111/32 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 is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, ³/₄ = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

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.

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