 # 26/9 as a Decimal: How to Convert and Simplify

May 2, 2023 Off

## Introduction

Decimal numbers are used in almost all aspects of our daily lives, from calculating expenses to measuring time. However, sometimes we encounter fractions that we need to convert to decimal format to use in our calculations. In this article, we will focus on one such fraction: 26/9, and learn how to convert it to a decimal.

## Understanding Fractions and Decimals

Before we dive into converting 26/9 into a decimal, it’s essential to understand the basic concepts of fractions and decimals.

### What are Fractions?

A fraction is a way of representing a part of a whole. Fractions consist of a numerator, which is the number above the fraction line, and a denominator, which is the number below the fraction line. For example, 3/4 represents three parts of a whole that is divided into four equal parts.

### What are Decimals?

Decimals are another way of representing parts of a whole. Unlike fractions, decimals are expressed in base 10 and use a decimal point to separate the whole number from the fractional part. For example, 0.75 represents three-fourths, where 0 is the whole number, and 75 is the fractional part.

## Converting 26/9 into a Decimal

To convert 26/9 into a decimal, we need to divide the numerator by the denominator. Let’s take a look at the steps:

1. First, we need to set up the division problem: 26 ÷ 9.
2. We begin by dividing the numerator (26) by the denominator (9). We can’t divide 26 by 9 without a remainder, so we place a decimal point after the 26 and add a zero after it to make it a whole number.
3. We then divide 260 by 9, which gives us 28 with a remainder of 8. We write down the remainder (8) and bring down the next digit (0) next to it.
4. We divide 80 by 9, which gives us 8 with a remainder of 8. We write down the remainder (8) and bring down the next digit (0) next to it.
5. We divide 80 by 9 again, which gives us 8 with a remainder of 8. We write down the remainder (8) and bring down the next digit (0) next to it.
6. We continue this process until we get the desired level of accuracy. In this case, we can stop after the third decimal place as the subsequent digits are repeating.
7. So, 26/9 in decimal form is 2.8888… or 2.89 (rounded to two decimal places).

## Simplifying 26/9

It’s important to note that 26/9 can also be simplified. Simplifying a fraction means reducing it to its lowest terms by dividing both the numerator and denominator by their greatest common factor.

To simplify 26/9, we need to find its greatest common factor (GCF). The factors of 26 are 1, 2, 13, and 26. The factors of 9 are 1, 3, and 9. The only factor that both 26 and 9 have in common is 1. So, the GCF of 26 and 9 is 1.

To simplify 26/9, we divide both the numerator and denominator by the GCF (which is 1). Therefore, the simplified form of 26/9 is 26/9 ÷ 1/1, which is equal to 26/9.

## Conclusion

In conclusion, converting