How to convert 3/4 into a decimal?
Understand the Problem
The question is asking how to convert the fraction 3/4 into its decimal form. To do this, you would divide the numerator (3) by the denominator (4).
Answer
The decimal form of the fraction $\frac{3}{4}$ 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 a decimal, we need to divide the numerator (3) by the denominator (4).
- Perform the division
We can set this up as: $$ 3 \div 4 $$ When you divide 3 by 4, you recognize that 3 is smaller than 4, so we introduce a decimal point and add a zero to the 3, making it 30.
- Continue the division
Now, we divide 30 by 4:
- 4 goes into 30 a total of 7 times (since $4 \times 7 = 28$).
- Write down 7 after the decimal point, leaving a remainder of 2.
- Bring down another zero
Next, we bring down another zero (making it 20) and divide again:
- 4 goes into 20 exactly 5 times (since $4 \times 5 = 20$).
- There’s no remainder left.
- Write the final result
Combining the numbers, we get: $$ 0.75 $$
The decimal form of the fraction $\frac{3}{4}$ is $0.75$.
More Information
When converting fractions to decimals, you often perform long division. The decimal will repeat or terminate, depending on the fraction. In this case, $\frac{3}{4}$ terminates, resulting in a precise value of $0.75$.
Tips
- A common mistake is forgetting to add a decimal point and zero after the numerator when the numerator is smaller than the denominator. Always remember to adjust for decimals when dividing smaller numbers!
