Convert 3/4 into a decimal.
Understand the Problem
The question is asking us to convert the fraction 3/4 into its decimal form. This can be done by dividing the numerator (3) by the denominator (4).
Answer
The decimal form of $\frac{3}{4}$ is $0.75$.
Answer for screen readers
The decimal form of the fraction $\frac{3}{4}$ is $0.75$.
Steps to Solve
- Set up the division
To convert the fraction $\frac{3}{4}$ into decimal form, we set up the division of the numerator (3) by the denominator (4):
$$ 3 \div 4 $$
- Perform the division
When we perform the division, we can think of 3 as 3.000 (adding decimal points and zeros) to carry out the division more easily:
$$ 3.000 \div 4 $$
- Divide step by step
- 4 goes into 30 seven times (since $4 \times 7 = 28$).
- Subtract 28 from 30 to get a remainder of 2.
- Bring down the next 0 to make it 20.
- 4 goes into 20 five times (since $4 \times 5 = 20$).
- Subtract 20 from 20 to get a remainder of 0.
Therefore, the decimal representation of $\frac{3}{4}$ is:
$$ 0.75 $$
The decimal form of the fraction $\frac{3}{4}$ is $0.75$.
More Information
The fraction $\frac{3}{4}$ is a simple fraction that equals 0.75 in decimal form. Understanding how to convert fractions into decimals can help with various mathematical applications, including measurements and calculations in daily life.
Tips
- Forgetting to add decimal points and zeros can lead to confusion during division.
- Assuming division results in a whole number instead of a decimal.
