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Last updated on May 26th, 2025

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9 13/16 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn mixed numbers and decimals. A mixed number represents a whole number and a fraction combined. It consists of a whole part and a fractional part. The fraction has a numerator (number on the top), which represents how many parts out of the whole, and a denominator (number below), which shows how many parts make the whole. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

9 13/16 as a Decimal for Vietnamese Students
Professor Greenline from BrightChamps

What is 9 13/16 as a decimal?

9 13/16 as a decimal

Answer

 

9 13/16 in decimals can be written as 9.8125. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 9 13/16 into decimal, we will first convert the fractional part 13/16 into a decimal. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend, and the denominator (16) will be taken as the divisor.

 

Step 2: Divide 13 by 16. Since 13 is smaller than 16, it can't be divided directly, so we will use the decimal method.

 

Step 3: Add a decimal point and zeros to the dividend, making it 130, and add a decimal point in the quotient place.

 

Step 4: Divide 130 by 16. The closest multiple is 16 × 8 = 128. Write 8 in the quotient place and subtract 128 from 130, giving 2.

 

Step 5: Bring down another 0, making it 20, and repeat the division process. Divide 20 by 16, which goes 1 time (16 × 1 = 16). Subtract 16 from 20, giving 4.

 

Step 6: Bring down another 0, making it 40, and repeat. Divide 40 by 16, which goes 2 times (16 × 2 = 32). Subtract 32 from 40, giving 8.

 

Step 7: Bring down another 0, making it 80, and repeat. Divide 80 by 16, which goes 5 times (16 × 5 = 80). The remainder is 0, ending the division. Hence, 13/16 as a decimal is 0.8125.

 

Adding this to the whole number 9 gives us 9.8125.

Professor Greenline from BrightChamps

Important Glossaries for 9 13/16 as a decimal

  • Mixed Number: A number consisting of a whole number and a fraction.
     
  • 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.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, we believe math questions are more than just figures—they’re doors to many opportunities! We strive to help children throughout Vietnam build essential skills, such as today’s focus on the 9 13/16 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-follow style. Whether your child is calculating the speed of a roller coaster at Suoi Tien Theme Park, tracking scores in a local football match, or managing their allowance for new gadgets, mastering math gives them the confidence they need in everyday life. Our engaging lessons make learning straightforward and fun. Because children in Vietnam have different learning preferences, we personalize our approach to suit each child. From the bustling streets of Ho Chi Minh City to the beautiful Ha Long Bay, BrightChamps brings math to life, making it relatable and exciting across Vietnam. Let’s make decimal conversions an enjoyable part of every child’s math journey!
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