What is 11/25 as a decimal?
Understand the Problem
The question is asking for the decimal equivalent of the fraction 11/25, which involves performing the division of 11 by 25.
Answer
The decimal equivalent of $\frac{11}{25}$ is $0.44$.
Answer for screen readers
The decimal equivalent of the fraction $\frac{11}{25}$ is $0.44$.
Steps to Solve
- Set up the division
We need to divide 11 by 25 to get the decimal equivalent. Write it as: $$ 11 \div 25 $$
- Perform the division
Since 11 is less than 25, we can rewrite the division by adding a decimal point and zeros to 11. This allows us to proceed with long division.
- Long Division Steps
- Add a decimal point to 11, making it 11.00.
- 25 goes into 110 four times (since $25 \times 4 = 100$).
- Write down 4 after the decimal point.
- Calculate the remainder
Subtract 100 from 110: $$ 110 - 100 = 10 $$
Bring down the next zero to make it 100.
- Continue dividing
- 25 goes into 100 exactly four times (since $25 \times 4 = 100$).
- Write another 4 next to the previous 4, making it 0.44.
- Calculate the final remainder
Subtract again: $$ 100 - 100 = 0 $$
Since there is no remainder, we can stop here.
The decimal equivalent of the fraction $\frac{11}{25}$ is $0.44$.
More Information
When converting fractions to decimals, it's important to recognize how many times the denominator fits into the numerator and to properly manage remainders. In this case, the division produced a terminating decimal (0.44) without any recurring digits.
Tips
- Forgetting to include the decimal point when starting to divide.
- Miscalculating how many times the denominator fits into sections of the division.
- Not bringing down zeros when required in long division.