7 1/6 as a Decimal

Answer

7 1/6 as a decimal can be written as 7.16666…. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 7 1/6 in decimal, we will use the division method for the fractional part. Here as 1 is smaller than 6, we will take help of the decimal method which will give us 0.16666. 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. 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 that is 6 × 1 = 6. We will write 1 in the quotient place and subtract 6 from 10, giving 4.

Step 5: Bring down another 0 in the dividend place and make 4 as 40, then repeat the division process. The division process continues as we don't get the remainder as 0. This process results in a recurring decimal.

The answer for 7 1/6 as a decimal is 7.1666……

• 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.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.