What is 1.2636 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.2636 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 1.2636 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.

1.2636 as a fraction equals 12636/10000 or 3159/2500

Now let's break down the steps for converting 1.2636 into a fraction.

Step 1:

First, we express 1.2636 as a fraction by placing it over 1:
1.2636/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.2636 x 10000/1 x 10000
  =  
12636/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 12636 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 12636 are: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 12636
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 12636 and 10000 is: 4

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 4 in this case.
12636 ÷ 4/10000 ÷ 4
  =  
3159/2500


Great Work! We've just determined that 1.2636 as a fraction equals 12636/10000 or 3159/2500 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 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 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.

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 personalized 1-1 lessons check out Preply.com.

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

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



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