1 1/7 as a Decimal

Answer

1 1/7 in decimals can be written as 1.142857….. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 1 1/7 in decimal, we first convert the fraction 1/7 to a decimal using division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (1) will be taken as dividend and denominator (7) will be taken as divisor.

Step 2: As 1 is smaller than 7, 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 7. Let's see how many times 7 fits into 10.

Step 4: 10 divided by 7 gives 1 with a remainder of 3. We bring down another 0, making it 30.

Step 5: 30 divided by 7 gives 4 with a remainder of 2. We bring down another 0, making it 20.

Step 6: 20 divided by 7 gives 2 with a remainder of 6. We bring down another 0, making it 60.

Step 7: 60 divided by 7 gives 8 with a remainder of 4. We bring down another 0, making it 40.

Step 8: 40 divided by 7 gives 5 with a remainder of 5. We bring down another 0, making it 50.

Step 9: 50 divided by 7 gives 7 with a remainder of 1. We bring down another 0, making it 10, and repeat the process. This process shows that 1/7 is a recurring decimal 0.142857….. Adding 1 to it gives us the decimal 1.142857…..

• 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 that repeats a sequence of digits infinitely.