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

  1. 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:

$$ 13 \div 5 $$

  1. 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.

  1. Calculate the remainder Subtract the product from the numerator:

$$ 13 - 10 = 3 $$

Now we have a remainder of 3.

  1. 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:

$$ 30 \div 5 = 6 $$

  1. 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.
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