4 1/6 as a Decimal

Answer

4 1/6 in decimals can be written as 4.16666….. It is a recurring decimal, showing that the digit 6 will repeat infinitely.

Explanation

To get 4 1/6 in decimal, we will first convert 1/6 to a decimal. Here, since 1 is smaller than 6, we will use the division method which will give us 0.1666. 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 (6) will be taken as the divisor.

Step 2: As 1 is smaller than 6, it can't be divided. 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 6. Let's see how many times 6 makes 10.

Step 4: 10 is not a multiple of 6, so we will look for the nearest number, which is 6 × 1 = 6. We will write 1 in the quotient place and subtract 6 from 10 to get 4.

Step 5: Bring down another 0 in the dividend place to make 4 as 40 and then repeat the division process. 6 goes into 40 six times, so we write 6 in the quotient place and subtract 36 from 40 to get 4.

Step 6: Repeat this process, and we see that this results in a recurring decimal of 0.1666… Finally, add the whole number 4 to get 4.1666… as the decimal.

• 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 a digit or group of digits repeats infinitely.