What is 0.1432 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.1432 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 0.1432 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.

0.1432 as a fraction equals 1432/10000 or 179/1250

Now let's break down the steps for converting 0.1432 into a fraction.

Step 1:

First, we express 0.1432 as a fraction by placing it over 1:
0.1432/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.1432 x 10000/1 x 10000
  =  
1432/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 1432 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 1432 are: 1 2 4 8 179 358 716 1432
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 1432 and 10000 is: 8

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 8 in this case.
1432 ÷ 8/10000 ÷ 8
  =  
179/1250


Great Work! We've just determined that 0.1432 as a fraction equals 1432/10000 or 179/1250 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 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 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 repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

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.

For fun game based learning try Prodigy Math.

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

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



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