8/17 as a Decimal

Answer

8/17 in decimal form can be written as approximately 0.470588. It is a non-terminating, repeating decimal.

Explanation

To get 8/17 in decimal, we will use the division method. Here, 8 is smaller than 17, so we will use the decimal method, which will give us approximately 0.470588. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (17) will be taken as the divisor.

Step 2: As 8 is smaller than 17, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 8 as 80 and add a decimal point in the quotient place.

Step 3: Now that it is 80, we can divide it by 17. Let's see how many times 17 makes 80.

Step 4: 17 multiplied by 4 equals 68, which is the nearest multiple to 80. We will write 4 in the quotient place and subtract 68 from 80, which gives us 12.

Step 5: Bring down another 0 in the dividend place to make it 120, and then repeat the division process. The division process continues, and we get the number repeating as 470588. This process shows a repeating decimal.

The answer for 8/17 as a decimal will be approximately 0.470588.

• 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.
   
• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.