3 5/9 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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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: numerator (number on the top), here 5, representing 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 numbers that are not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 3 5/9 as a decimal?

$3 5/9 as a decimal$

Answer

3 5/9 in decimals can be written as 3.55555….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 3 5/9 into a decimal, we separate the whole number from the fraction. The whole number is 3. For the fraction 5/9, we will use the division method. Let's break down the steps:

Step 1: Identify the numerator and denominator for the fraction because the numerator (5) will be taken as the dividend and the denominator (9) as the divisor.

Step 2: 5 divided by 9 cannot yield a whole number, so we take the help of decimals. Add a decimal point in the quotient and proceed with the division.

Step 3: Since 5 is smaller than 9, we consider it as 50 by adding a zero. Now, divide 50 by 9.

Step 4: 50 is not a multiple of 9, so we find the nearest number that is 9 × 5 = 45. Write 5 in the quotient and subtract 45 from 50, which gives a remainder of 5.

Step 5: Bring down another 0 to make it 50 again, and repeat the division process. The division process continues, and we don't get a remainder of 0. This process is called a recurring decimal.

The answer for 3 5/9 as a decimal will be 3.5555……