10/17 as a Decimal

Answer

10/17 in decimals can be written as approximately 0.588235. It is a repeating decimal.

Explanation

To convert 10/17 into a decimal, we use the division method. Since 10 is smaller than 17, we will employ the decimal method, which results in 0.588235. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (17) will be taken as the divisor.

Step 2: As 10 is smaller than 17, it can't be divided directly. Here, we will use decimals. We add 0 to the dividend, making 10 into 100, and add a decimal point in the quotient place.

Step 3: Now that it is 100, we can divide it by 17. Let's see how many times 17 fits into 100.

Step 4: 17 goes into 100 approximately 5 times (as 17 × 5 = 85). We write 5 in the quotient place, subtract 85 from 100, which gives 15.

Step 5: Bring down another 0 in the dividend place, making it 150, and then repeat the division process. The division process continues, and we get a repeating decimal.

The answer for 10/17 as a decimal will be approximately 0.588235....

• 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 one or more digits repeat infinitely.