32/15 as a Decimal

Answer

32/15 in decimal form can be written as 2.1333... It is a recurring decimal, indicating that it will repeat the same digits infinitely.

Explanation

To convert 32/15 to a decimal, we will use the division method. Here, since 32 is greater than 15, we can perform the division directly. Let's see a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (32) will be taken as the dividend, and the denominator (15) will be the divisor.

Step 2: Divide 32 by 15. The whole number part of the quotient will be 2 since 15 goes into 32 twice (15 x 2 = 30).

Step 3: Subtract 30 from 32 to get the remainder 2.

Step 4: Bring down a 0 to make it 20. Divide 20 by 15 to get 1 with a remainder of 5.

Step 5: Bring down another 0 to make it 50, and divide by 15 to get 3 with a remainder of 5.

Step 6: This process will continue, and we will see the digits 3 repeating.

Therefore, the decimal representation of 32/15 is 2.1333...

This process results in a recurring decimal.

• 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.
   
• Recurring Decimal: A decimal that repeats the same digits indefinitely.