32/9 as a decimal
Understand the Problem
The question is asking to convert the fraction 32/9 into its decimal form. This involves performing the division of 32 by 9.
Answer
The decimal form of the fraction $\frac{32}{9}$ is $3.5\overline{5}$.
Answer for screen readers
The decimal form of the fraction $\frac{32}{9}$ is $3.5\overline{5}$.
Steps to Solve
-
Set up the division We will divide 32 by 9 to convert the fraction to a decimal.
-
Perform the division We can start by performing the long division.
- 9 goes into 32 three times (since $9 \times 3 = 27$).
- Subtract $27$ from $32$ which gives us $5$.
-
Add decimal places To continue dividing, we add a decimal point and a zero to the dividend (making it $50$).
-
Continue dividing Next, we divide again:
- 9 goes into 50 five times (since $9 \times 5 = 45$).
- Subtract $45$ from $50$ which gives us $5$ again.
-
Repeat the process Add another zero to make it $50$ again. By this time, we realize we will keep getting the same result when we repeat this division.
-
State the result From the division, we see that $32/9 = 3.5\overline{5}$, indicating that the decimal of the fraction has a repeating part.
The decimal form of the fraction $\frac{32}{9}$ is $3.5\overline{5}$.
More Information
The answer reveals that the fraction results in a repeating decimal, which is a common occurrence when dividing certain fractions. The repeating part is denoted by the bar over the digit to show that it continues indefinitely.
Tips
null
