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Last updated on March 3rd, 2025

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6/16 as a Decimal

Professor Greenline Explaining Math Concepts

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: the numerator (the number on the top), which represents how many parts out of the whole, here 6 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 16. 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.

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

What is 6/16 as a decimal?

6/16 as a decimalAnswer

 

6/16 in decimal form can be written as 0.375. It is a terminating decimal, which means it does not repeat infinitely.

 

Explanation

 

To convert 6/16 into a 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 (6) will be taken as the dividend and the denominator (16) will be taken as the divisor.

 

Step 2: As 6 is smaller than 16, it cannot be divided as a whole number. Here we will use decimals. We will add a decimal point in the quotient place and add a zero to the dividend, making it 60.

 

Step 3: Now that it is 60, we can divide it by 16. Let's see how many times 16 fits into 60.

 

Step 4: 16 goes into 60 three times because 16 × 3 = 48. We will write 3 in the quotient place and subtract 48 from 60, which gives 12.

 

Step 5: Bring down another 0 in the dividend place to make it 120, and then continue the division process.

 

Step 6: 16 goes into 120 seven times because 16 × 7 = 112. We write 7 in the quotient place and subtract 112 from 120, which gives 8.

 

Step 7: Bring down another 0 to make it 80, and divide again.

 

Step 8: 16 goes into 80 five times because 16 × 5 = 80. We write 5 in the quotient place, and subtracting 80 from 80 gives 0. The division process ends here with a remainder of 0, indicating the decimal is terminating.

 

The answer for 6/16 as a decimal is 0.375.

Professor Greenline from BrightChamps

Important Glossaries for 6/16 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.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 6/16 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!
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