# What is 3.6 as a fraction?

Converting decimals to fractions may be useful in life. Let's walk through the process of converting a decimal 3.6 to a fraction.

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

Often, convert 3.58 to a fraction or 3.62 to a fraction, depending on the task.

## Understanding the decimal: “3.6”

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 3.6, 3 is the integer and 6 is the fraction.

## Conversion Explanation:

1. For the numerator:
• By removing the decimal point, we derive the numerator as 36.
2. For the denominator:
• Each position after the decimal represents a division by 10.
• Thus, having 1 positions after the decimal equates to 10 or 101.
3. Factors:
• The factors for the numerator and the denominator are numbers that can evenly divide each of them.
• For instance, the factors of 36 include 1, 2, 3, 4, 6, 9, 12, 18, and 36.
• The factors of 10 comprise 1, 2, 5, and 10.
4. 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 36 and 10 is 2.

## The factors of 36 are:

1 2 3 4 6 9 12 18 36

1 2 5 10

## Conversion formula (equation):

$3.6=\frac{3.6}{1}=\frac{3.6 × 10}{1 × 10}=\frac{36}{10}=\frac{36÷2}{10÷2}=\frac{18}{5}$

## Solution:

3.6 = $\frac{18}{5}$

## 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. 3.6 = $\frac{3.6}{1}$
• Step 2: Decimals vary. Some are short; others are long. We will make the number of digits after the decimal point identical. For 3.6, we have three digits. This way we will increase our faction by a factor of 10 for each digit. Factor = 101 = 10
• Step 3: Taking our coefficient, we need to equalize both the numerator and the denominator. $\frac{3.6 × 10}{1 × 10}$ = $\frac{36}{10}$
• Step 4: Now we need to cut back the $\frac{36}{10}$. This requires seeking common divisors. Here, 2 our divisor, dividing both parts. $\frac{36 ÷ 2}{10 ÷ 2}$ = $\frac{18}{5}$

3.6 =
3
3
5