What is 1.7525 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.7525 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 1.7525 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.

1.7525 as a fraction equals 17525/10000 or 701/400

Now let's break down the steps for converting 1.7525 into a fraction.

Step 1:

First, we express 1.7525 as a fraction by placing it over 1:
1.7525/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.7525 x 10000/1 x 10000
  =  
17525/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 17525 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 17525 are: 1 5 25 701 3505 17525
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 17525 and 10000 is: 25

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 25 in this case.
17525 ÷ 25/10000 ÷ 25
  =  
701/400


Great Work! We've just determined that 1.7525 as a fraction equals 17525/10000 or 701/400 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 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 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 rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

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 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 median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.


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.

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

Math Planet has customized math courses for high school students.



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