23/30 as a decimal
Understand the Problem
The question is asking to convert the fraction 23/30 into its decimal form. To solve this, we will divide 23 by 30.
Answer
The decimal form of $ \frac{23}{30} $ is approximately $ 0.767 $.
Answer for screen readers
The decimal form of $ \frac{23}{30} $ is approximately $ 0.7666... $ or rounded, $ 0.767 $.
Steps to Solve
- Setting up the division
To convert the fraction $ \frac{23}{30} $ into decimal form, we perform the division of 23 by 30.
- Performing the division
Now, divide 23 by 30 using long division or a calculator.
- When you divide, you find that 30 goes into 23 zero times.
- You can add a decimal point and a zero (making it 230) to continue the division.
So, the setup looks like:
$$ 23.0 \div 30 $$
- Continuing the long division
30 goes into 230 seven times (since $ 30 \times 7 = 210 $).
- Write down 7 after the decimal point.
- Subtract 210 from 230 to get 20.
- Adding another zero
Now, bring down another zero making it 200.
- 30 goes into 200 six times (since $ 30 \times 6 = 180 $).
- Write down 6.
- Final calculation
Now, subtract 180 from 200 to get 20 again, and you can repeat this process. You will recognize it becomes $0.7666...$
You can round it off to 0.767 when needed.
The decimal form of $ \frac{23}{30} $ is approximately $ 0.7666... $ or rounded, $ 0.767 $.
More Information
Dividing 23 by 30 gives a repeating decimal, which means it doesn't terminate and keeps on having the digit '6' indefinitely after the decimal point. Hence, it is often rounded for practical uses.
Tips
- Misplacing the decimal: Sometimes, when doing long division, it's easy to misplace the decimal point. Always keep track of where the decimal is in the number.
- Forgetting to continue the division: Once you see a remainder, you should keep dividing by adding extra zeros.
