4 1/3 as a Decimal

Answer

4 1/3 in decimals can be written as 4.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 4 1/3 in decimal, we will first convert the fraction part, 1/3, to a decimal using the division method, and then add it to the whole number 4. Here, as 1 is smaller than 3, we will use the decimal method, which will give us 0.3333. Let's see the step-by-step breakdown of the process:

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

Step 2: As 1 is smaller than 3, it can't be divided directly. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 3. Let's see how many times 3 fits into 10.

Step 4: 10 is not a multiple of 3, so we will look for the nearest number that is 3 × 3 = 9. We will write 3 in the quotient place and subtract 9 from 10, giving us 1.

Step 5: Bring down another 0 in the dividend place to make 1 as 10 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

Finally, add this decimal to the whole number 4, which gives us 4.3333……

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

• 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 a sequence of digits repeats indefinitely.