6 13/16 as a Decimal

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This is a simple question about decimal conversion. First, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two components: the numerator (the top number) and the denominator (the bottom number). The numerator here is 13, indicating how many parts out of the whole are being considered, while the denominator is 16, showing how many parts make up the whole. A decimal represents a number that is not whole, using a decimal point (.) to separate the whole number part from the fractional part. Numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.

What is 6 13/16 as a decimal?

$6 13/16 as a decimal$

Answer

6 13/16 in decimal form can be written as 6.8125. It is a terminating decimal.

Explanation

To convert 6 13/16 to a decimal, we first convert the mixed number to an improper fraction and then perform the division. Here’s the step-by-step breakdown of the process:

Step 1: Convert the mixed number to an improper fraction. The whole number 6 will be converted by multiplying it by the denominator, giving us 6 × 16 = 96. Add the numerator to this result: 96 + 13 = 109. So, 6 13/16 is equivalent to 109/16.

Step 2: Divide the numerator by the denominator to convert it into a decimal.

Step 3: 109 ÷ 16 = 6.8125.

The answer for 6 13/16 as a decimal is 6.8125.

Important Glossaries for 6 13/16 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses 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.
Mixed Number: A number consisting of an integer and a proper fraction.