22/3 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 a 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 3. A decimal is a way to represent the number that is not whole, using a (.) or a decimal point 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 22/3 as a decimal?

$22/3 as a decimal$

Answer

22/3 in decimals can be written as 7.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 22/3 in decimal, we will use the division method. Here, since 22 is larger than 3, we can directly divide using the decimal method, which will give us 7.3333. 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 (3) will be taken as the divisor.

Step 2: Divide 22 by 3. Since 3 goes into 22 seven times, we write 7 in the quotient place.

Step 3: Subtract 21 (which is 3 × 7) from 22 to get a remainder of 1.

Step 4: Bring down a 0 to make it 10.

Step 5: Divide 10 by 3 to get 3. Write 3 in the quotient place and subtract 9 (which is 3 × 3) from 10 to get a remainder of 1.

Step 6: Bring down another 0 to make it 10 again, and repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 22/3 as a decimal is 7.3333……

Important Glossaries for 22/3 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a division 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.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.