What is 1.3625 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.3625 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 1.3625 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.

1.3625 as a fraction equals 13625/10000 or 109/80

Now let's break down the steps for converting 1.3625 into a fraction.

Step 1:

First, we express 1.3625 as a fraction by placing it over 1:
1.3625/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.3625 x 10000/1 x 10000
  =  
13625/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 13625 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 13625 are: 1 5 25 109 125 545 2725 13625
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 13625 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.
13625 ÷ 125/10000 ÷ 125
  =  
109/80


Great Work! We've just determined that 1.3625 as a fraction equals 13625/10000 or 109/80 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 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 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.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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.

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.


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 fun game based learning try Prodigy Math.

Math Planet has customized math courses for high school students.



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