15/21 as a Decimal

Answer

15/21 in decimals can be simplified and then written as approximately 0.71428. This is not a recurring decimal as it eventually terminates.

Explanation

To convert 15/21 into a decimal, we first simplify the fraction and then use division. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction. Both 15 and 21 can be divided by their greatest common divisor, which is 3. So, 15/21 simplifies to 5/7.

Step 2: Identify the simplified numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 3: Divide 5 by 7 using long division. As 5 is smaller than 7, we add a decimal point and a 0 to make it 50.

Step 4: Determine how many times 7 fits into 50, which is 7 times (7 x 7 = 49). Write 7 in the quotient place and subtract 49 from 50 to get 1.

Step 5: Bring down another 0, making it 10, and repeat the division process.

Step 6: Continue the process until you get a remainder of 0 or decide to stop at a certain decimal place.

The answer for 15/21 as a decimal is approximately 0.71428.

• 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.

• Simplification: The process of reducing a fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor.