What is 13/25 as a decimal?
Understand the Problem
The question is asking to convert the fraction 13/25 into its decimal form. To solve this, we will divide the numerator (13) by the denominator (25).
Answer
The decimal form of the fraction \( \frac{13}{25} \) is \( 0.52 \).
Answer for screen readers
The decimal form of the fraction ( \frac{13}{25} ) is ( 0.52 ).
Steps to Solve

Set Up the Division Start by setting up the division of 13 by 25. We can write this as: $$ 13 \div 25 $$

Performing the Division Since 13 is less than 25, we can add a decimal point to our quotient and add a zero to the dividend. This makes it easier to divide: $$ 130 \div 25 $$

Divide the Tenths Place Now, divide 130 by 25. How many times does 25 go into 130? It goes 5 times because: $$ 25 \times 5 = 125 $$

Calculate the Remainder Subtract the result from 130 to find the remainder: $$ 130  125 = 5 $$

Bring Down Another Zero Now, bring down a zero to the remainder to make it 50 (from 5): $$ 50 \div 25 $$

Divide Again Next, divide 50 by 25. It goes 2 times because: $$ 25 \times 2 = 50 $$

Final Remainder Subtract again to find the remainder: $$ 50  50 = 0 $$
Since there are no more numbers to bring down, we've completed the division.
 Write the Result The result from our division is: $$ 0.52 $$
The decimal form of the fraction ( \frac{13}{25} ) is ( 0.52 ).
More Information
Converting fractions to decimal forms is useful in many reallife applications, such as calculating percentages and determining prices. This specific conversion shows how fractions can represent finite decimals.
Tips
 Not adding a decimal point when the numerator is less than the denominator. This can lead to confusion in realizing that the decimal form is required.
 Forgetting to bring down zeros after the initial division step can lead to unfinished calculations.