Table Of Contents
104 LearnersLast updated on March 13th, 2025
17/12 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 17, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 12. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 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……
Important Glossaries for 17/12 as a 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 one or more digits repeat infinitely.
Explore More math-questions
Previous to 17/12 as a Decimal
