3 1/3 as a Decimal

Answer

3 1/3 in decimal form can be written as 3.3333... It is a recurring decimal, indicating that the digit '3' repeats infinitely.

Explanation

To convert 3 1/3 into a decimal, we'll first convert the fractional part, 1/3, into a decimal.

Step 1: Identify the numerator and denominator. Here, the numerator (1) is the dividend, and the denominator (3) is the divisor.

Step 2: Since 1 is smaller than 3, we use the decimal method. Add a decimal point in the quotient and make 1 as 10 by adding 0.

Step 3: Divide 10 by 3. 3 goes into 10 three times (3 × 3 = 9), leaving a remainder of 1.

Step 4: Bring down another 0 to make it 10 again, and repeat the division process.

Step 5: This process continues, resulting in a recurring decimal of 0.3333... Now, add the whole number '3' to the decimal part,

resulting in 3.3333...

• Mixed Number: A number consisting of a whole number and a fraction.

• Fraction: A numerical quantity representing part of a whole, with a numerator and a denominator.

• Decimal: A number 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 considered.

• Recurring Decimal: A decimal in which one or more digits repeat infinitely.