32/9 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 32, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 32/9 as a decimal?

$32/9 as a decimal$

Answer

32/9 in decimals can be written as 3.55555….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 32/9 in decimal, we will use the division method. Here, since 32 is larger than 9, we can directly start dividing. Let's see the 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 (9) will be taken as the divisor.

Step 2: Divide 32 by 9. Let's see how many times 9 makes 32.

Step 3: 9 times 3 is 27, so we write 3 in the quotient place. Subtract 27 from 32 to get 5.

Step 4: Bring down a 0 to make it 50. Divide 50 by 9, which goes 5 times (since 9 times 5 is 45). Write 5 in the quotient. Subtract 45 from 50 to get 5 again.

Step 5: Continue the process by bringing down another 0, making it 50 again, and repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 32/9 as a decimal will be 3.5555……