7/17 as a Decimal

Answer

7/17 in decimals can be written as approximately 0.41176. It is a non-repeating decimal.

Explanation

To convert 7/17 to a decimal, we will use the division method. Here, as 7 is smaller than 17, we will use the decimal method. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (17) will be taken as the divisor.

Step 2: As 7 is smaller than 17, it can't be divided directly; here, we will take the help of decimals. We will add 0 to the dividend, making 7 into 70, and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 17. Let's see how many times 17 fits into 70.

Step 4: 17 goes into 70 four times, since 17 × 4 = 68. We will write 4 in the quotient place and subtract 68 from 70 to get 2.

Step 5: Bring down another 0 in the dividend place, making it 20, and repeat the division process.

Step 6: 17 goes into 20 one time, since 17 × 1 = 17. Subtract 17 from 20 to get 3.

Step 7: Bring down another 0, making it 30, and repeat the division process.

Step 8: 17 goes into 30 one time, since 17 × 1 = 17. Subtract 17 from 30 to get 13.

Step 9: Bring down another 0, making it 130, and repeat the division process.

Step 10: 17 goes into 130 seven times, since 17 × 7 = 119. Subtract 119 from 130 to get 11. The process continues with more digits.

The approximate value of 7/17 as a decimal is 0.41176…

• 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-repeating Decimal: A decimal that does not have a repeating pattern of digits.