15/17 as a Decimal

Answer

15/17 in decimals can be written as approximately 0.88235. It is a non-terminating decimal.

Explanation

To convert 15/17 into a decimal, we use the division method. Here's a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend, and the denominator (17) will be taken as the divisor.

Step 2: As 15 is smaller than 17, we can't divide it directly. We will take the help of decimals, adding 0 to the dividend to make it 150 and placing a decimal point in the quotient.

Step 3: Now, 150 divided by 17 gives us 8 (since 17 × 8 = 136). Subtracting 136 from 150 leaves us with a remainder of 14.

Step 4: Bring down another 0 to make it 140, and divide by 17 again. 17 goes into 140 eight times (17 × 8 = 136). Subtracting gives a remainder of 4.

Step 5: Continue bringing down 0s and performing division until you reach a desired level of precision.

The process continues, and the division does not terminate, resulting in a non-terminating decimal.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses 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 ending.