5 1/6 as a Decimal

Answer

5 1/6 in decimals can be written as 5.16666… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 5 1/6 in decimal, we will convert the fraction part 1/6 to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fraction part, which is 1/6. 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, so we will take the help of decimals. We will add 0 to the dividend, making 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 that is 6 × 1 = 6. We will write 1 in the quotient place and subtract 6 from 10, which gives 4.

Step 5: Bring down another 0 in the dividend place to make 4 as 40, 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, combine the whole number 5 with the decimal to get 5.1666…

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