What is 3.8875 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.8875 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 3.8875 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.

3.8875 as a fraction equals 38875/10000 or 311/80

Now let's break down the steps for converting 3.8875 into a fraction.

Step 1:

First, we express 3.8875 as a fraction by placing it over 1:
3.8875/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.8875 x 10000/1 x 10000
  =  
38875/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 38875 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 38875 are: 1 5 25 125 311 1555 7775 38875
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 38875 and 10000 is: 125

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 125 in this case.
38875 ÷ 125/10000 ÷ 125
  =  
311/80


Great Work! We've just determined that 3.8875 as a fraction equals 38875/10000 or 311/80 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 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 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%.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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 a structured learning approach with video lessons try the Khan Academy.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.



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