What is 2.42 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.42 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 2.42 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.

2.42 as a fraction equals 242/100 or 121/50

Now let's break down the steps for converting 2.42 into a fraction.

Step 1:

First, we express 2.42 as a fraction by placing it over 1:
2.42/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.42 x 100/1 x 100
  =  
242/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 242 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 242 are: 1 2 11 22 121 242
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 242 and 100 is: 2

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 2 in this case.
242 ÷ 2/100 ÷ 2
  =  
121/50


Great Work! We've just determined that 2.42 as a fraction equals 242/100 or 121/50 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 simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 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.

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 decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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 fun game based learning try Prodigy Math.

For a self-study courses for Algebra. We recommend Purple Math.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



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