# What is 2.2 as a fraction?

Converting decimals to fractions can be useful in many situations. Let's go through the steps to convert a decimal 2.2 to a fraction.

You can try other values to get more familiar with the conversion process.

Often, convert 2.191919 to a fraction or 2.201 to a fraction, depending on the task.

## Understanding the decimal: “2.2”

A decimal number consists of an integer part and a fractional part, separated by a decimal point. The integer part is on the left, and the fractional part is on the right. For example, in 2.2, 2 is the integer part and 2 is the fractional part.

## Conversion Explanation:

**For the numerator:**- We start with the number
**2.2**. - By removing the decimal point, we derive the numerator as
**22**.

- 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
**22**include**1, 2, 11, and 22**. - 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
**22**and**10**is**2**.

## The factors of 22 are:

**1**

__2__11 22## The factors of 10 are:

**1**

__2__5 10## Conversion formula (equation):

**$2.2=\frac{2.2}{1}=\frac{\mathrm{2.2\; \times \; 10}}{\mathrm{1\; \times \; 10}}=\frac{22}{10}=\frac{\mathrm{22\xf72}}{\mathrm{10\xf72}}=\frac{11}{5}$**

## Solution:

**2.2 = $\frac{11}{5}$**

## What is a decimal?

A decimal is a numeral system that includes a point to separate the whole number part from the fractional part. This system makes it easy to work with numbers less than one.

## What is a fraction?

A fraction is a mathematical way of showing a part of a whole. It has two parts: the numerator on top and the denominator below, which help express partial values and comparisons.

## Step-by-step solution:

**Step 1:**First, write the decimal as a fraction over**1**. This sets up the next steps.**2.2 = $\frac{2.2}{1}$****Step 2:**Decimals can have different lengths. We will align the number of digits after the decimal point. For**2.2**, we have three digits. This means multiplying the fraction by a factor of**10**for each digit. Factor**= 10**^{1}= 10**Step 3:**Using this factor, multiply both the numerator and the denominator.**$\frac{\mathrm{2.2\; \times \; 10}}{\mathrm{1\; \times \; 10}}$ = $\frac{22}{10}$****Step 4:**Now we need to simplify the fraction by finding common divisors. The greatest common divisor is**2**. Divide both the numerator and the denominator by this common divisor.**$\frac{\mathrm{22\; \xf7\; 2}}{\mathrm{10\; \xf7\; 2}}$ = $\frac{11}{5}$**