48/11 as a Decimal
48
11
=
4.36
This is a repeating decimal. The digits 36 repeat infinitely.
To convert 48/11 to a decimal, we divide the numerator by the denominator:
48 ÷ 11 = 4.363636363636363
Understanding 48/11 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 48/11 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:
- 48/11 = 4.363636363636363 where 36 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