What is 1.2348 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.2348 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 1.2348 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.

1.2348 as a fraction equals 12348/10000 or 3087/2500

Now let's break down the steps for converting 1.2348 into a fraction.

Step 1:

First, we express 1.2348 as a fraction by placing it over 1:
1.2348/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.2348 x 10000/1 x 10000
  =  
12348/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 12348 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 12348 are: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 12348 and 10000 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.
12348 ÷ 4/10000 ÷ 4
  =  
3087/2500


Great Work! We've just determined that 1.2348 as a fraction equals 12348/10000 or 3087/2500 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 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 are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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.

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.

Use Study.com for an entertaining video lesson approach.

Math Planet has customized math courses for high school students.

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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