What is 1.33452 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.33452 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 1.33452 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.

1.33452 as a fraction equals 133452/100000 or 33363/25000

Now let's break down the steps for converting 1.33452 into a fraction.

Step 1:

First, we express 1.33452 as a fraction by placing it over 1:
1.33452/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.33452 x 100000/1 x 100000
  =  
133452/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 133452 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 133452 are: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 337 396 674 1011 1348 2022 3033 3707 4044 6066 7414 11121 12132 14828 22242 33363 44484 66726 133452
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 133452 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.
133452 ÷ 4/100000 ÷ 4
  =  
33363/25000


Great Work! We've just determined that 1.33452 as a fraction equals 133452/100000 or 33363/25000 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 irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 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 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%.


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.

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

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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