17/12 as a Decimal

Answer

17/12 in decimals can be written as 1.41666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 17/12 in decimal, we will use the division method. Here, since 17 is larger than 12, we will start by dividing directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (12) will be taken as the divisor.

Step 2: Begin dividing 17 by 12. Since 12 fits into 17 once, write 1 in the quotient place. Subtract 12 from 17 to get 5.

Step 3: Bring down a 0 to make it 50 and add a decimal point in the quotient place.

Step 4: Divide 50 by 12 to get 4. 12 times 4 is 48. Write 4 in the quotient and subtract 48 from 50 to get 2.

Step 5: Bring down another 0 to make it 20. Divide 20 by 12 to get 1. 12 times 1 is 12. Write 1 in the quotient and subtract 12 from 20 to get 8.

Step 6: Bring down another 0 to make it 80. Divide 80 by 12 to get 6. 12 times 6 is 72. Write 6 in the quotient and subtract 72 from 80 to get 8.

Step 7: Repeat the process as 80 appears again, showing a recurring decimal.

The answer for 17/12 as a decimal will be approximately 1.4166……

• 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 one or more digits repeat infinitely.