What is 1.51324 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.51324 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 1.51324 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.

1.51324 as a fraction equals 151324/100000 or 37831/25000

Now let's break down the steps for converting 1.51324 into a fraction.

Step 1:

First, we express 1.51324 as a fraction by placing it over 1:
1.51324/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.51324 x 100000/1 x 100000
  =  
151324/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 151324 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 151324 are: 1 2 4 37831 75662 151324
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 151324 and 100000 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.
151324 ÷ 4/100000 ÷ 4
  =  
37831/25000


Great Work! We've just determined that 1.51324 as a fraction equals 151324/100000 or 37831/25000 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 are proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

What are imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

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 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.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

Use Study.com for an entertaining video lesson approach.

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



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