What is the decimal equivalent of the fraction 3/25?
Understand the Problem
The question is asking for the conversion of the fraction 3/25 into its decimal equivalent. To solve this, we will divide the numerator (3) by the denominator (25).
Answer
$0.12$
Answer for screen readers
The decimal equivalent of the fraction $\frac{3}{25}$ is $0.12$.
Steps to Solve
- Set up the division
We need to convert the fraction ${\frac{3}{25}}$ into a decimal by dividing the numerator (3) by the denominator (25).
- Perform the division
Now, we calculate the division:
$$ 3 \div 25 $$
Since 3 is less than 25, we can write this as:
$$ 3.000 \div 25 $$
We add a decimal point and zeros to allow for decimal division.
- Divide step by step
- 25 goes into 30 one time, which gives us 1.
- Multiply $1 \times 25 = 25$.
- Subtract $30 - 25 = 5$.
- Bring down the next zero making it 50.
Now, divide again:
- 25 goes into 50 exactly two times, which gives us 2.
- Multiply $2 \times 25 = 50$.
- Subtract $50 - 50 = 0$.
Since there are no more numbers to bring down, we stop here.
- Write the result
The result of the division is:
$$ 0.12 $$
The decimal equivalent of the fraction $\frac{3}{25}$ is $0.12$.
More Information
The conversion from fraction to decimal is commonly used in various applications, including financial calculations and measurements. In this case, $\frac{3}{25}$ simplifies to a decimal representation that's often easier to work with.
Tips
- Forgetting to add a decimal point and zeros when the numerator is smaller than the denominator.
- Rounding too early in the division process, which can lead to incorrect final answers.
