What is 0.00444 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.00444 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 0.00444 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.

0.00444 as a fraction equals 444/100000 or 111/25000

Now let's break down the steps for converting 0.00444 into a fraction.

Step 1:

First, we express 0.00444 as a fraction by placing it over 1:
0.00444/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.00444 x 100000/1 x 100000
  =  
444/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 444 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 444 are: 1 2 3 4 6 12 37 74 111 148 222 444
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 444 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.
444 ÷ 4/100000 ÷ 4
  =  
111/25000


Great Work! We've just determined that 0.00444 as a fraction equals 444/100000 or 111/25000 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 is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

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 are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.

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%.

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

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.



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