What is 13/5 as a decimal?
Understand the Problem
The question is asking to convert the fraction 13/5 into its decimal form. To solve this, we will divide the numerator (13) by the denominator (5).
Answer
The decimal form of $\frac{13}{5}$ is $2.6$.
Answer for screen readers
The decimal form of the fraction $\frac{13}{5}$ is $2.6$.
Steps to Solve
- Set up the division To convert the fraction $\frac{13}{5}$ into decimal form, set it up as the division of the numerator by the denominator:
$$ 13 \div 5 $$
- Perform the division Divide 13 by 5.
Since 5 goes into 13 two times (because $5 \times 2 = 10$), we write down 2 in the quotient.
- Calculate the remainder Subtract the product from the numerator:
$$ 13 - 10 = 3 $$
Now we have a remainder of 3.
- Continue the division with the remainder Now, we add a decimal point and a zero to the remainder, turning it into 30.
Now divide 30 by 5:
$$ 30 \div 5 = 6 $$
- Combine the results Now combine the integer part with the decimal part obtained from the division. The result from step 2 was 2 and from step 4 was 6.
Thus,
$$ 2.6 $$
is the decimal form of the fraction $\frac{13}{5}$.
The decimal form of the fraction $\frac{13}{5}$ is $2.6$.
More Information
When converting fractions to decimals, you can either perform the division directly or recognize that some fractions convert to repeating decimals, but in this case, $2.6$ is a terminating decimal.
Tips
- Mistake in division: Double-check each step of the division to ensure the correct multiplication and subtraction.
- Forgetting to add a decimal point and zero when working with remainders.