7/21 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, 7 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 21. 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 7/21 as a decimal?

$7/21 as a decimal$

Answer

7/21 in decimals can be simplified and written as 0.3333… It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation

To get 7/21 in decimal, we will simplify and use the division method. Since 7 and 21 can be simplified, we first reduce the fraction.

Step 1: Simplify 7/21. The greatest common divisor of 7 and 21 is 7, so 7/21 simplifies to 1/3.

Step 2: Now, convert 1/3 into a decimal by division. Since 1 is smaller than 3, we take the help of decimals, which gives us 0.3333.

Step 3: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (3) will be the divisor.

Step 4: As 1 is smaller than 3, we cannot divide directly, so we add a decimal to the quotient and consider 10.

Step 5: Divide 10 by 3. The nearest multiple of 3 is 9 (3 × 3). Write 3 in the quotient and subtract 9 from 10, leaving a remainder of 1.

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

The answer for 7/21 as a decimal will be 0.3333…

Important Glossaries for 7/21 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 one or more digits repeat infinitely after the decimal point.