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Last updated on March 3rd, 2025

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7/3 as a Decimal

Professor Greenline Explaining Math Concepts
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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 a 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 3. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

Professor Greenline from BrightChamps

What is 7/3 as a decimal?

7/3 as a decimalAnswer

 

7/3 in decimals can be written as 2.33333… It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To convert 7/3 into a decimal, we will use the division method. Since 7 is larger than 3, we can divide directly. Let's break down the process step by step.

 

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (3) will be taken as the divisor.

 

Step 2: Divide 7 by 3. 3 goes into 7 two times, which gives us 6. We write 2 in the quotient place.

 

Step 3: Subtract 6 from 7, which gives us 1.

 

Step 4: Bring down a 0 to make it 10, and continue the division. 3 goes into 10 three times, which gives 9. Write 3 in the quotient.

 

Step 5: Subtract 9 from 10, which gives 1. Bring down another 0 to make it 10 again and repeat the division process. The division process continues, and we don't get a remainder of 0. This process is called a recurring decimal.

 

The answer for 7/3 as a decimal will be 2.3333……

Professor Greenline from BrightChamps

Important Glossaries for 7/3 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.

 

  • Divisor: The number by which another number is divided.

 

  • Recurring Decimal: A decimal in which one or more digits repeat infinitely. ```
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