What is 2.52 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.52 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 2.52 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.

2.52 as a fraction equals 252/100 or 63/25

Now let's break down the steps for converting 2.52 into a fraction.

Step 1:

First, we express 2.52 as a fraction by placing it over 1:

2.52/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

2.52 x 100/1 x 100

252/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 252 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 252 are: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 252 and 100 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.

252 ÷ 4/100 ÷ 4

63/25

Great Work! We've just determined that 2.52 as a fraction equals 252/100 or 63/25 in its simplest form.

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Examples of converting decimals to fractions

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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 is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, ³/₄ = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

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.

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.