Understanding 1.65 As A Fraction: A Complete Guide

Introduction

If you are one of those who struggle with understanding fractions, you are not alone. Fractions can be a challenging topic for many students, but with proper guidance, it can become a lot easier. In this article, we will be discussing the concept of 1.65 as a fraction, and everything you need to know about it.

What is a Fraction?

Before we dive into the specifics of 1.65 as a fraction, let us first understand what a fraction is. A fraction is a way of representing a part of a whole. It consists of two parts, the numerator and the denominator. The numerator represents the number of parts we have, while the denominator represents the total number of parts in the whole.

Expressing 1.65 as a Fraction

Now that we know what a fraction is, let us explore how we can express 1.65 as a fraction. To do this, we need to convert the decimal 1.65 into a fraction. We can start by writing 1.65 as a fraction with a denominator of 1. 1.65/1 Next, we need to multiply both the numerator and denominator by 100 to eliminate the decimal point. 165/100 We can simplify this fraction by dividing both the numerator and denominator by the greatest common factor, which is 5. 33/20 Therefore, 1.65 as a fraction is 33/20.

Types of Fractions

There are several types of fractions, including proper fractions, improper fractions, mixed numbers, and decimals. Proper fractions have a numerator that is smaller than the denominator, while improper fractions have a numerator that is larger than the denominator. Mixed numbers, on the other hand, are a combination of a whole number and a fraction.

Converting Fractions to Decimals

Converting fractions to decimals is a crucial skill that every student should master. To convert a fraction to a decimal, we need to divide the numerator by the denominator. For example, to convert 33/20 to a decimal, we can divide 33 by 20 using a calculator or long division. 1.65 Therefore, 33/20 is equivalent to 1.65 as a decimal.

Converting Decimals to Fractions

Converting decimals to fractions is also an essential skill that can come in handy in many situations. To convert a decimal to a fraction, we need to follow a few simple steps. First, we need to write the decimal as a fraction with a denominator of 1. Next, we need to multiply both the numerator and denominator by a power of 10 that will eliminate the decimal point. For example, to convert 1.65 to a fraction, we can write it as 1.65/1 and multiply both the numerator and denominator by 100. 165/100 We can simplify this fraction by dividing both the numerator and denominator by 5. 33/20 Therefore, 1.65 as a decimal is equivalent to 33/20 as a fraction.

Applications of Fractions

Fractions have numerous applications in real life, including cooking, carpentry, and engineering. For example, if a recipe calls for 3/4 cup of flour, we need to measure out three-quarters of a cup of flour. Similarly, in carpentry, we need to measure out fractions of an inch to ensure that the pieces fit together correctly.

Common Fractions

There are several common fractions that every student should know, including 1/2, 1/4, 1/3, 2/3, and 3/4. These fractions come up in everyday life, and it is essential to understand their meaning and how to use them.

Conclusion

In conclusion, understanding fractions is a crucial skill that every student should master. We hope that this article has helped you understand the concept of 1.65 as a fraction and how to convert it to a decimal. Remember, practice is key to mastering any skill, so keep practicing and don’t give up!