What is 1.35884 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.35884 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 1.35884 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.

1.35884 as a fraction equals 135884/100000 or 33971/25000

Now let's break down the steps for converting 1.35884 into a fraction.

Step 1:

First, we express 1.35884 as a fraction by placing it over 1:
1.35884/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.35884 x 100000/1 x 100000
  =  
135884/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 135884 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 135884 are: 1 2 4 7 14 23 28 46 92 161 211 322 422 644 844 1477 2954 4853 5908 9706 19412 33971 67942 135884
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 135884 and 100000 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.
135884 ÷ 4/100000 ÷ 4
  =  
33971/25000


Great Work! We've just determined that 1.35884 as a fraction equals 135884/100000 or 33971/25000 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

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 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.


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.

Math Planet has customized math courses for high school students.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.



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