What is 3/25 as a decimal?
Understand the Problem
The question is asking how to convert the fraction 3/25 into its decimal form. This can be done by dividing the numerator (3) by the denominator (25).
Answer
The decimal form of \( \frac{3}{25} \) is $0.12$.
Answer for screen readers
The decimal form of ( \frac{3}{25} ) is $0.12$.
Steps to Solve
- Perform the Division
To convert the fraction ( \frac{3}{25} ) into decimal form, we need to divide the numerator (3) by the denominator (25).
- Set Up the Division
When performing the division, set it up as: $$ 3 \div 25 $$
- Perform Long Division
Since 3 is smaller than 25, we need to add a decimal point and a zero to 3. We treat it as 30.
- Calculate
Now divide 30 by 25:
- 25 goes into 30 one time (1), so we put a 1 in the quotient.
- Multiply 1 by 25, which gives us 25.
- Subtract 25 from 30, leaving us with 5.
- Bring down another 0, making it 50.
- Continue Dividing
Now divide 50 by 25:
- 25 goes into 50 two times (2), so we put a 2 in the quotient.
- Multiply 2 by 25, which gives us 50.
- Subtract 50 from 50, resulting in 0.
- Final Result
Since there’s no remainder, we combine the numbers we found in the quotient. The decimal form of ( \frac{3}{25} ) is:
$$ 0.12 $$
The decimal form of ( \frac{3}{25} ) is $0.12$.
More Information
Converting fractions to decimals is a common task in mathematics, and it shows how division can represent various numerical formats. The decimal ( 0.12 ) indicates that ( \frac{3}{25} ) makes up 12% of a whole.
Tips
- Misplacing the Decimal: When adding a decimal point, it's essential to place it correctly to ensure the right magnitude is maintained.
- Ignoring Remainders: Some might forget to continue dividing when there's a remainder. Always check if you have completed the division.