What is 1.24352 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.24352 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 1.24352 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.

1.24352 as a fraction equals 124352/100000 or 3886/3125

Now let's break down the steps for converting 1.24352 into a fraction.

Step 1:

First, we express 1.24352 as a fraction by placing it over 1:
1.24352/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.24352 x 100000/1 x 100000
  =  
124352/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 124352 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 124352 are: 1 2 4 8 16 29 32 58 64 67 116 134 232 268 464 536 928 1072 1856 1943 2144 3886 4288 7772 15544 31088 62176 124352
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 124352 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.
124352 ÷ 32/100000 ÷ 32
  =  
3886/3125


Great Work! We've just determined that 1.24352 as a fraction equals 124352/100000 or 3886/3125 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 composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

What is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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 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 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.

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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