What is 27/64 as a decimal?

Converting fractions to decimals is an essential skill. It bridges the gap between two numeric representations. In this guide, we will detail the process of converting the fraction 27/64 to a decimal.

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

Often, convert 42/100 to a decimal or 17/40 to a decimal, depending on the task.

Understanding the Fraction: 27/64

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 27/64: 27 is the numerator, and 64 is the denominator. It signifies that 27 is divided by 64 to get the fraction's value.

Solution:

2764 = 0.422

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.

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.

Conversion Steps:

To get the decimal of 27/64, follow these steps:

  1. Step 1: Set up the division. Divide the numerator of 27 by the denominator of 64. This will look like the following: 27÷64.
  2. Step 2: Divide. Perform the division. If using a calculator, simply divide 27 by 64. If doing it manually, apply division.
  3. Step 3: Identify the decimal. The result of the division will be a decimal value. When 27 is divided by 64, the decimal obtained is 0.421875.

Rounding and Interpretation:

The decimal 0.421875 is recurring. Often, we round it to a desired number of decimal places for simplicity, such as 0.422. This rounded value is the decimal equivalent of the fraction 27/64.