What is 2.14368 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.14368 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 2.14368 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.

2.14368 as a fraction equals 214368/100000 or 6699/3125

Now let's break down the steps for converting 2.14368 into a fraction.

Step 1:

First, we express 2.14368 as a fraction by placing it over 1:
2.14368/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.14368 x 100000/1 x 100000
  =  
214368/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 214368 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 214368 are: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 32 33 42 44 48 56 58 66 77 84 87 88 96 112 116 132 154 168 174 176 203 224 231 232 264 308 319 336 348 352 406 462 464 528 609 616 638 672 696 812 924 928 957 1056 1218 1232 1276 1392 1624 1848 1914 2233 2436 2464 2552 2784 3248 3696 3828 4466 4872 5104 6496 6699 7392 7656 8932 9744 10208 13398 15312 17864 19488 26796 30624 35728 53592 71456 107184 214368
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 214368 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.
214368 ÷ 32/100000 ÷ 32
  =  
6699/3125


Great Work! We've just determined that 2.14368 as a fraction equals 214368/100000 or 6699/3125 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 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 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 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.

For personalized 1-1 lessons check out Preply.com.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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