## Introduction

Do you struggle with understanding fractions? You are not alone. Many people find it challenging to grasp the concept of fractions. However, understanding fractions is crucial in math and many other areas of life. In this article, we will be discussing 1.65 as a fraction.

## What is a Fraction?

A fraction is a way of representing a part of a whole number. It consists of a numerator and a denominator. The numerator is the top number, while the denominator is the bottom number. For example, in the fraction ¾, the numerator is 3, and the denominator is 4.

## Converting Decimal to Fraction

To convert a decimal to a fraction, you need to follow a few simple steps. First, write the decimal as a fraction with a denominator of 1. Next, multiply both the numerator and the denominator by 10 until the decimal is a whole number. Finally, simplify the fraction if possible.

### Step 1:

Write 1.65 as a fraction with a denominator of 1: 1.65/1

### Step 2:

Multiply both the numerator and the denominator by 10: 16.5/10

### Step 3:

Simplify the fraction: 1.65 = 165/100

## Reducing the Fraction

Now that we have converted 1.65 to a fraction, we can reduce it to its lowest terms. To do this, we need to find the greatest common factor (GCF) of the numerator and denominator and divide them both by it.

### Step 1:

Find the GCF of 165 and 100: The factors of 165 are 1, 3, 5, 11, 15, 33, 55, and 165. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The GCF of 165 and 100 is 5.

### Step 2:

Divide both the numerator and denominator by 5: 165/5 = 33 100/5 = 20

### Step 3:

The reduced fraction is: 33/20

## Improper Fraction

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. In our case, 33/20 is an improper fraction because the numerator (33) is greater than the denominator (20).

## Mixed Number

A mixed number is a combination of a whole number and a fraction. To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the numerator of the fraction.

### Step 1:

Divide 33 by 20: 33 ÷ 20 = 1 with a remainder of 13.

### Step 2:

The mixed number is: 1 13/20

## Conclusion

In conclusion, 1.65 as a fraction is 33/20 or 1 13/20 as a mixed number. Understanding fractions is essential in many areas of life, including math and cooking. With this article, we hope that you have a better understanding of fractions and how to convert decimals to fractions.