22/30 as a Decimal

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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: the 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 30. A decimal is a way to represent a number that is not whole, using 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 22/30 as a decimal?

$22/30 as a decimal$

Answer

22/30 in decimals can be written as 0.7333… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 22/30 in decimal, we will use the division method. 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 (30) will be taken as the divisor.

Step 2: As 22 is smaller than 30, it can't be divided directly. We will take the help of decimals. We will add a decimal point in the quotient place and a zero to the dividend, making it 220.

Step 3: Now, 220 can be divided by 30. Let's see how many times 30 fits into 220.

Step 4: 220 divided by 30 is 7 with a remainder of 10, because 30 × 7 = 210.

Step 5: Bring down another 0 in the dividend place to make it 100, and then repeat the division process. The division process continues, and we don't get a remainder of 0; this process results in a recurring decimal.

The answer for 22/30 as a decimal is 0.7333…

Important Glossaries for 22/30 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.
Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.