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Understanding 11.25 as a Fraction: A Comprehensive Guide

Have you ever wondered what 11.25 is as a fraction? It’s a common question for those who are just starting out in mathematics or who need to brush up on their basic math skills. In this article, we will explore the answer to this question and give you a better understanding of how to convert decimals to fractions.

What is a Fraction?

Before we delve into the specifics of 11.25 as a fraction, let’s take a step back and review what a fraction is. A fraction is a number that represents a part of a whole. It is expressed as a ratio of two numbers, the numerator and the denominator, separated by a slash (/). For example, 3/4 represents three parts of a whole that is divided into four equal parts.

What is a Decimal?

A decimal, on the other hand, is a number that represents a part of a whole using a base-ten numbering system. It is expressed using a decimal point and can be a whole number or a fraction. For example, 3.5 is a decimal that represents three and a half.

Converting Decimals to Fractions

To convert a decimal to a fraction, you need to follow a few simple steps:

Step 1: Identify the Denominator

The denominator is the bottom number in a fraction and represents the total number of parts in a whole. To find the denominator of a decimal, count the number of decimal places to the right of the decimal point.

Step 2: Convert the Decimal to a Whole Number

Move the decimal point to the right until you have a whole number. Count the number of times you move the decimal point and remember that number.

Step 3: Write the Fraction

Write the whole number you found in step 2 as the numerator of the fraction. The denominator should be 1 followed by the same number of zeros as the number of decimal places you counted in step 1.

11.25 as a Fraction

Now that we have reviewed the basics of fractions and decimals, let’s convert 11.25 to a fraction.

Step 1: Identify the Denominator

Since 11.25 has two decimal places, the denominator will be 100.

Step 2: Convert the Decimal to a Whole Number

Move the decimal point two places to the right, and you will get the whole number 1125.

Step 3: Write the Fraction

The fraction is 11.25/1. However, we can simplify this fraction by dividing both the numerator and the denominator by the same number. In this case, we can divide by 25, which gives us 9/4. Therefore, 11.25 as a fraction is 9/4.

Why is 11.25 as a Fraction Important?

Understanding how to convert decimals to fractions is an essential skill for many math and science courses. It can help you solve problems that involve ratios, proportions, and percentages, and it can also help you understand how fractions and decimals relate to each other.

Tips for Converting Decimals to Fractions

Here are some tips to help you convert decimals to fractions more quickly and easily:

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