7/12 as a Decimal
7
12
=
0.583
This is a repeating decimal. The digit 3 repeates infinitely.
To convert 7/12 to a decimal, we divide the numerator by the denominator:
7 ÷ 12 = 0.583333333333333
Understanding 7/12 as a Decimal
When we convert a fraction to a decimal, we are finding an equivalent value in decimal form. The decimal representation of a fraction shows the fraction as a value on the number line.
Repeating Decimal Explanation
The fraction 7/12 results in a repeating decimal. This happens when the division process never terminates with a remainder of zero.
In mathematics, we denote repeating decimals by placing a bar over the repeating digits or by using parentheses:
- 7/12 = 0.583333333333333 where 3 repeats infinitely
Fraction to Decimal Method
To convert any fraction to a decimal:
- Divide the numerator by the denominator
- If the division terminates (remainder becomes 0), you have a terminating decimal
- If the division results in a repeating pattern of remainders, you have a repeating decimal