What is 0.09801 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.09801 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 0.09801 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.

0.09801 as a fraction equals 9801/100000

Now let's break down the steps for converting 0.09801 into a fraction.

Step 1:

First, we express 0.09801 as a fraction by placing it over 1:
0.09801/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.09801 x 100000/1 x 100000
  =  
9801/100000


Great Work! We've just determined that 0.09801 as a fraction equals 9801/100000 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 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 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.

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 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.

For personalized 1-1 lessons check out Preply.com.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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