What is 0.98 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.98 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 0.98 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.

0.98 as a fraction equals 98/100 or 49/50

Now let's break down the steps for converting 0.98 into a fraction.

Step 1:

First, we express 0.98 as a fraction by placing it over 1:

0.98/1

Step 2:

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

0.98 x 100/1 x 100

98/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 98 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 98 are: 1 2 7 14 49 98
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 98 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.

98 ÷ 2/100 ÷ 2

49/50

Great Work! We've just determined that 0.98 as a fraction equals 98/100 or 49/50 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:

Examples of converting decimals to fractions

Practice makes perfect! Build your skills in converting decimals to fractions by following these step by step examples:

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 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 decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents ¹/₂.

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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

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.

Use Study.com for an entertaining video lesson approach.

Desmos.com has a focus on equation, functions and visual graphs.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.