# 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).

The decimal form of $\frac{13}{5}$ is $2.6$.

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 $2.6$.

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.