What is 1.37214 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.37214 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 1.37214 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.

1.37214 as a fraction equals 137214/100000 or 68607/50000

Now let's break down the steps for converting 1.37214 into a fraction.

Step 1:

First, we express 1.37214 as a fraction by placing it over 1:
1.37214/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.37214 x 100000/1 x 100000
  =  
137214/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 137214 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 137214 are: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 121 126 154 162 189 198 231 242 297 363 378 462 567 594 693 726 847 891 1089 1134 1386 1694 1782 2079 2178 2541 3267 4158 5082 6237 6534 7623 9801 12474 15246 19602 22869 45738 68607 137214
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 137214 and 100000 is: 2

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 2 in this case.
137214 ÷ 2/100000 ÷ 2
  =  
68607/50000


Great Work! We've just determined that 1.37214 as a fraction equals 137214/100000 or 68607/50000 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 are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

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.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..


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 a structured learning approach with video lessons try the Khan Academy.

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

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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