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
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Set Up the Division Start by setting up the division of 13 by 25. We can write this as: $$ 13 \div 25 $$
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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: $$ 130 \div 25 $$
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Divide the Tenths Place Now, divide 130 by 25. How many times does 25 go into 130? It goes 5 times because: $$ 25 \times 5 = 125 $$
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Calculate the Remainder Subtract the result from 130 to find the remainder: $$ 130 - 125 = 5 $$
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Bring Down Another Zero Now, bring down a zero to the remainder to make it 50 (from 5): $$ 50 \div 25 $$
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Divide Again Next, divide 50 by 25. It goes 2 times because: $$ 25 \times 2 = 50 $$
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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 real-life 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.
