What is 1.31422 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.31422 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 1.31422 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.

1.31422 as a fraction equals 131422/100000 or 65711/50000

Now let's break down the steps for converting 1.31422 into a fraction.

Step 1:

First, we express 1.31422 as a fraction by placing it over 1:
1.31422/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.31422 x 100000/1 x 100000
  =  
131422/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 131422 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 131422 are: 1 2 23 46 2857 5714 65711 131422
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 131422 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.
131422 ÷ 2/100000 ÷ 2
  =  
65711/50000


Great Work! We've just determined that 1.31422 as a fraction equals 131422/100000 or 65711/50000 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

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 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 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 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.

Use Study.com for an entertaining video lesson approach.

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

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.



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