22/4 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top) here, 22 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 4. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 22/4 as a decimal?

$22/4 as a decimal$

Answer

22/4 in decimals can be written as 5.5. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To get 22/4 in decimal, we will use the division method. Here, 22 is greater than 4, so we can proceed with the division directly, which will give us 5.5. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (22) will be taken as the dividend and the denominator (4) will be taken as the divisor.

Step 2: Divide 22 by 4. Since 22 is greater than 4, we can divide it directly.

Step 3: 4 goes into 22 five times (4 × 5 = 20). Write 5 in the quotient place.

Step 4: Subtract 20 from 22 to get a remainder of 2.

Step 5: Bring down a 0 to make it 20 and continue the division. 4 goes into 20 five times (4 × 5 = 20), resulting in no remainder.

The division process ends here as there is no remainder, and the answer for 22/4 as a decimal is 5.5.

Important Glossaries for 22/4 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.