What is 1.33536 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.33536 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 1.33536 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.

1.33536 as a fraction equals 133536/100000 or 4173/3125

Now let's break down the steps for converting 1.33536 into a fraction.

Step 1:

First, we express 1.33536 as a fraction by placing it over 1:
1.33536/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.33536 x 100000/1 x 100000
  =  
133536/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 133536 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 133536 are: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 107 156 208 214 312 321 416 428 624 642 856 1248 1284 1391 1712 2568 2782 3424 4173 5136 5564 8346 10272 11128 16692 22256 33384 44512 66768 133536
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 133536 and 100000 is: 32

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 32 in this case.
133536 ÷ 32/100000 ÷ 32
  =  
4173/3125


Great Work! We've just determined that 1.33536 as a fraction equals 133536/100000 or 4173/3125 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

What are simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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 fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

For a self-study courses for Algebra. We recommend Purple Math.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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