What is 0.88424 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.88424 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 0.88424 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.

0.88424 as a fraction equals 88424/100000 or 11053/12500

Now let's break down the steps for converting 0.88424 into a fraction.

Step 1:

First, we express 0.88424 as a fraction by placing it over 1:
0.88424/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.88424 x 100000/1 x 100000
  =  
88424/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 88424 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 88424 are: 1 2 4 7 8 14 28 56 1579 3158 6316 11053 12632 22106 44212 88424
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 88424 and 100000 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.
88424 ÷ 8/100000 ÷ 8
  =  
11053/12500


Great Work! We've just determined that 0.88424 as a fraction equals 88424/100000 or 11053/12500 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

What are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

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.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into 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.


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.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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



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