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Last updated on May 26th, 2025

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6 15/16 as a Decimal

Professor Greenline Explaining Math Concepts

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

6 15/16 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 6 15/16 as a decimal?

6 15/16 as a decimal

 

Answer

 

6 15/16 in decimals can be written as 6.9375. It is a terminating decimal, meaning it ends after a finite number of decimal places.

 

Explanation

 

To convert 6 15/16 to a decimal, we will first convert the fraction 15/16 to a decimal.

 

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend and the denominator (16) will be taken as the divisor.

 

Step 2: Perform the division 15 ÷ 16. Since 15 is smaller than 16, the result will be less than 1, and we will use the decimal method.

 

Step 3: Add a decimal point and zero to the dividend, making it 150, and begin the division.

 

Step 4: 16 goes into 150 nine times (16 × 9 = 144). Write 9 in the quotient, and subtract 144 from 150, leaving a remainder of 6.

 

Step 5: Bring down another 0, making it 60. Divide 60 by 16, which goes 3 times (16 × 3 = 48). Write 3 in the quotient and subtract 48 from 60, leaving a remainder of 12.

 

Step 6: Bring down another 0, making it 120. Divide 120 by 16, which goes 7 times (16 × 7 = 112). Write 7 in the quotient and subtract 112 from 120, leaving a remainder of 8.

 

Step 7: Bring down another 0, making it 80. Divide 80 by 16, which goes 5 times (16 × 5 = 80). Write 5 in the quotient, and the remainder is 0, ending the division process. The fraction 15/16 as a decimal is 0.9375.

 

Step 8: Add this to the whole number 6 to get the final decimal: 6 + 0.9375 = 6.9375.

 

The answer for 6 15/16 as a decimal is 6.9375.

Professor Greenline from BrightChamps

Important Glossaries for 6 15/16 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 Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 6 15/16 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!
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