# What is 2.7 as a fraction?

Converting decimals to fractions can be useful in many situations. Let's go through the steps to convert a decimal 2.7 to a fraction.

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

Often, convert 2.6875 to a fraction or 2.71 to a fraction, depending on the task.

## Understanding the decimal: “2.7”

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 2.7, 2 is the integer part and 7 is the fractional part.

## Conversion Explanation:

1. For the numerator:
• We start with the number 2.7.
• By removing the decimal point, we derive the numerator as 27.
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 27 include 1, 3, 9, and 27.
• 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 27 and 10 is 1.

1 3 9 27

1 2 5 10

## Conversion formula (equation):

$2.7=\frac{2.7}{1}=\frac{2.7 × 10}{1 × 10}=\frac{27}{10}=\frac{27÷1}{10÷1}=\frac{27}{10}$

## Solution:

2.7 = $\frac{27}{10}$

## 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. 2.7 = $\frac{2.7}{1}$
• Step 2: Decimals can have different lengths. We will align the number of digits after the decimal point. For 2.7, we have three digits. This means multiplying the fraction by a factor of 10 for each digit. Factor = 101 = 10
• Step 3: Using this factor, multiply both the numerator and the denominator. $\frac{2.7 × 10}{1 × 10}$ = $\frac{27}{10}$
• Step 4: Now we need to simplify the fraction by finding common divisors. The greatest common divisor is 1. Divide both the numerator and the denominator by this common divisor. $\frac{27 ÷ 1}{10 ÷ 1}$ = $\frac{27}{10}$

2.7 =
2
7
10