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Last updated on March 4th, 2025

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9/7 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
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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: numerator (number on the top) here, 9 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 7. A decimal is a way to represent the 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.

Professor Greenline from BrightChamps

What is 9/7 as a decimal?

9/7 as a decimal

 

Answer

 

9/7 in decimals can be written as 1.285714285714... It is a recurring decimal, showing it will repeat the sequence of digits infinitely. Explanation To get 9/7 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 (9) will be taken as the dividend and the denominator (7) will be taken as the divisor.

 

Step 2: Since 9 is larger than 7, we can directly divide 9 by 7 which gives 1 as a whole number. We will subtract 7 from 9, resulting in a remainder of 2.

 

Step 3: Bring down a 0 to make it 20. Now divide 20 by 7. The nearest multiple of 7 is 14 (7 × 2 = 14).

 

Step 4: Write 2 in the quotient place, subtract 14 from 20, which gives a remainder of 6, and bring down another 0 to make it 60.

 

Step 5: Divide 60 by 7. The nearest multiple of 7 is 56 (7 × 8 = 56). Write 8 in the quotient place, subtract 56 from 60, resulting in a remainder of 4. Continue this process, and you will see the sequence 142857 repeats indefinitely. This process is called a recurring decimal.

 

The answer for 9/7 as a decimal will be 1.285714285714...

Professor Greenline from BrightChamps

Important Glossaries for 9/7 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, the dividend, is divided.

 

  • Recurring Decimal: A decimal number that has digits that repeat infinitely.
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