320/7 as a Decimal
320
7
=
45.714285
This is a repeating decimal. The digits 714285 repeat infinitely.
To convert 320/7 to a decimal, we divide the numerator by the denominator:
320 ÷ 7 = 45.714285714285715
Understanding 320/7 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 320/7 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:
- 320/7 = 45.714285714285715 where 714285 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