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……

• Whole Number: A number without fractions; an integer.

• 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.

• Recurring Decimal: A decimal in which a digit or sequence of digits repeats infinitely.

• Division: The process of determining how many times one number is contained within another.