5/15 as a Decimal

Answer

5/15 in decimals can be simplified to 0.33333… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 5/15 to a decimal, we will simplify the fraction first. The greatest common divisor of 5 and 15 is 5. Dividing both the numerator and the denominator by 5, we get 1/3. Next, we convert 1/3 to a decimal using long division. Since 1 is smaller than 3, we will use the decimal method, which will result in 0.3333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (3) as the divisor.

Step 2: As 1 is smaller than 3, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 3. Let's see how many times 3 fits into 10.

Step 4: 10 is not a multiple of 3, so we will look for the nearest number, which is 3 × 3 = 9. We will write 3 in the quotient place and subtract 9 from 10, leaving 1.

Step 5: Bring down another 0 in the dividend place to make 1 as 10 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process results in a recurring decimal.

The answer for 5/15 as a decimal will be 0.3333…

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number expressed in the base-ten system, using 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.
   
• Recurring Decimal: A decimal in which a digit or a sequence of digits repeats infinitely.