10 1/3 as a Decimal

Answer

10 1/3 in decimals can be written as 10.3333…. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 10 1/3 to a decimal, we will first convert 1/3 to a decimal. Using the division method, 1 divided by 3 gives us 0.3333. Adding this to 10 gives us 10.3333. Let's break down the process step by step:

Step 1: Identify the mixed number, which consists of the whole number 10 and the fraction 1/3.

Step 2: Convert the fraction 1/3 to a decimal. Here, 1 is smaller than 3, so we use the decimal method, resulting in 0.3333.

Step 3: Add 0.3333 to the whole number 10, resulting in 10.3333. The division process continues as a recurring decimal.

Therefore, the answer for 10 1/3 as a decimal is 10.3333….

• 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.

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

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Recurring Decimal: A decimal that repeats the same sequence of digits infinitely.