# What is 1.1 as a fraction?

Converting decimals to fractions may be useful in life. Let's walk through the process of converting a decimal 1.1 to a fraction.

You can select other values to familiarize yourself with the conversion guide.

Often, convert 1.09 to a fraction or 1.11 to a fraction, depending on the task.

## Understanding the decimal: “1.1”

A decimal number has an integer and fractional parts. The decimal point separates the two. The integer is to the left, the fraction to the right. For example, in 1.1, 1 is the integer and 1 is the fraction.

## Conversion Explanation:

**For the numerator:**- We start with the number
**1.1**. - By removing the decimal point, we derive the numerator as
**11**.

- We start with the number
**For the denominator:**- Each position after the decimal represents a division by
**10**. - Thus, having
**1**positions after the decimal equates to**10**or**10**.^{1}

- Each position after the decimal represents a division by
**Factors:**- The factors for the numerator and the denominator are numbers that can evenly divide each of them.
- For instance, the factors of
**11**include**1, and 11**. - The factors of
**10**comprise**1, 2, 5, and 10**.

**Greatest Common Divisor (GCD):**- It's the largest number that can evenly divide both the numerator and the denominator.
- In this instance, the GCD for
**11**and**10**is**1**.

## The factors of 11 are:

__1__11## The factors of 10 are:

__1__2 5 10## Conversion formula (equation):

**$1.1=\frac{1.1}{1}=\frac{\mathrm{1.1\; \times \; 10}}{\mathrm{1\; \times \; 10}}=\frac{11}{10}=\frac{\mathrm{11\xf71}}{\mathrm{10\xf71}}=\frac{11}{10}$**

## Solution:

**1.1 = $\frac{11}{10}$**

## What is a decimal?

A decimal is a numeral system with a point. This point divides the integer from its fractional part. It provides a straightforward way to express and work with values less than one.

## What is a fraction?

A fraction is a mathematical expression of two parts: the numerator on top and the denominator below. It represents partial values, showcasing relationships or comparisons.

## Step-by-step solution:

**Step 1**Let's frame our decimal as a fraction over**1**. This way we will make the next steps possible.**1.1 = $\frac{1.1}{1}$****Step 2:**Decimals vary. Some are short; others are long. We will make the number of digits after the decimal point identical. For**1.1**, we have three digits. This way we will increase our faction by a factor of**10**for each digit. Factor**= 10**^{1}= 10**Step 3:**Taking our coefficient, we need to equalize both the numerator and the denominator.**$\frac{\mathrm{1.1\; \times \; 10}}{\mathrm{1\; \times \; 10}}$ = $\frac{11}{10}$****Step 4:**Now we need to cut back the**$\frac{11}{10}$**. This requires seeking common divisors. Here,**1**our divisor, dividing both parts.**$\frac{\mathrm{11\; \xf7\; 1}}{\mathrm{10\; \xf7\; 1}}$ = $\frac{11}{10}$**