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Last updated on March 17th, 2025

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6 7/16 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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: the numerator (the number on the top), here 7, which represents how many parts out of the whole; and the denominator (the number below), here 16, 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 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 6 7/16 as a decimal?

6 7/16 as a decimal

 

Answer

 

6 7/16 in decimals can be written as 6.4375. It is a terminating decimal, meaning it does not repeat; it ends after four decimal places.

 

Explanation

 

To convert 6 7/16 to a decimal, we will first convert the fraction 7/16 to a decimal and then add it to the whole number 6. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the fraction part 7/16 that needs conversion to decimal.

 

Step 2: Perform division of the numerator by the denominator, where 7 is the dividend and 16 is the divisor.

 

Step 3: Since 7 is smaller than 16, we consider the division with decimal points. We add 0 to the dividend to make it 70 and add a decimal point in the quotient place.

 

Step 4: Divide 70 by 16. The closest multiple is 16 × 4 = 64. Write 4 in the quotient place and subtract 64 from 70, giving us 6.

 

Step 5: Bring down another 0, making it 60, and divide by 16. The closest multiple is 16 × 3 = 48. Write 3 in the quotient place and subtract 48 from 60, giving us 12.

 

Step 6: Bring down another 0, making it 120, and divide by 16. The closest multiple is 16 × 7 = 112. Write 7 in the quotient place and subtract 112 from 120, giving us 8.

 

Step 7: Bring down another 0, making it 80, and divide by 16. The closest multiple is 16 × 5 = 80. Write 5 in the quotient place. Now, the remainder is 0, so the division ends here.

 

Thus, 7/16 is 0.4375 in decimal form. Adding this to the whole number 6 gives us 6.4375.

Professor Greenline from BrightChamps

Important Glossaries for 6 7/16 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.
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