16/7 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 (number on the top) here, 16, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 7. A decimal is a way to represent a number that is not whole, using 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.

What is 16/7 as a decimal?

$16/7 as a decimal$

Answer

16/7 in decimals can be written as 2.285714... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 16/7 in decimal, we will use the division method. Here, as 16 is larger than 7, we can divide directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (16) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: Divide 16 by 7. The whole number part of the quotient is 2.

Step 3: Subtract 14 (2 multiplied by 7) from 16, which gives a remainder of 2.

Step 4: Bring down a zero to make it 20, then divide 20 by 7, which gives 2. The remainder is 6.

Step 5: Bring down another 0 to make it 60, then divide 60 by 7, which gives 8. The remainder is 4.

Step 6: Continue this process, and you will see the sequence 285714 repeating. This process is called a recurring decimal.

The answer for 16/7 as a decimal will be 2.285714...

Important Glossaries for 16/7 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.
Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.