5/17 as a Decimal

Answer

5/17 in decimals can be written as approximately 0.2941176470588235. It is a non-recurring, non-terminating decimal.

Explanation

To get 5/17 in decimal, we will use the division method. Here, as 5 is smaller than 17, we will take the help of the decimal method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (17) will be taken as the divisor.

Step 2: As 5 is smaller than 17, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, which will make 5 into 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 17. Let's see how many times 17 goes into 50.

Step 4: 50 is not a multiple of 17, so we will look for the nearest number that is 17 × 2 = 34. We will write 2 in the quotient place and subtract 34 from 50, which gives 16.

Step 5: Bring down another 0 in the dividend place to make it 160, and then repeat the division process. The division process continues, and we don't get the remainder as 0, indicating a non-terminating decimal.

The answer for 5/17 as a decimal is approximately 0.2941176470588235.

• 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.
   
• Non-terminating Decimal: A decimal that continues infinitely without repeating.