9 1/3 as a Decimal

Answer

9 1/3 in decimal form can be written as 9.33333... It is a recurring decimal, indicating that the digit 3 repeats infinitely.

Explanation

To convert 9 1/3 into a decimal, we first convert the fractional part, 1/3, into a decimal, using the division method.

Step 1: Identify the numerator and denominator of the fraction. 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. We add a decimal point and a zero to make it 10, which allows us to divide 10 by 3.

Step 3: Divide 10 by 3 to get 3, with a remainder of 1.

Step 4: Bring down another 0 to make it 10 again, and repeat the division process. The process continues indefinitely, resulting in the recurring decimal 0.3333...

Step 5: Combine the whole number 9 with the decimal obtained from the fractional part,

Resulting in 9.3333...

• Fraction: A numerical quantity that represents a part of a whole, consisting of a numerator and a denominator.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

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

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

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