1 1/3 as a Decimal

Answer

1 1/3 in decimals can be written as 1.33333….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 1 1/3 in decimal form, we first convert the mixed number to an improper fraction: (3 × 1) + 1 = 4/3. Then, we use the division method. Since 4 is larger than 3, we can divide directly to find the decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: Divide 4 by 3. 3 goes into 4 once, giving us a quotient of 1 and a remainder of 1.

Step 3: To continue the division, add a decimal point and a 0 to the remainder, making it 10.

Step 4: Divide 10 by 3. 3 goes into 10 three times, giving us a quotient of 3 and a remainder of 1.

Step 5: Repeat the process by bringing down another 0, making it 10 again, and continue dividing. The division process continues, and we don't get a remainder of 0. This process results in a recurring decimal.

The answer for 1 1/3 as a decimal will be 1.3333……

• 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 in which one or more digits repeat infinitely.