Reviewed by Janice S. Armas
What is 13/20 as a decimal?
Answer: 13/20 as a decimal is 0.65
Fractions like 13/20 can be rewritten as decimals by dividing the numerator by the denominator. This transformation makes it easier to compare, calculate, or use the value in a variety of mathematical contexts. Converting fractions to decimals is a key skill in arithmetic, statistics, and everyday problem-solving.
Methods
Math Tutor Explanation Using the Division Method
This method involves dividing the numerator (top number) by the denominator (bottom number) to find the decimal equivalent.
Step 1: Step 1: Set up the division of 13 divided by 20
Step 2: Step 2: Perform the division calculation to get 0.65
Math Tutor Explanation Using Equivalent Fractions with a Power of 10 Denominator
This approach rewrites the fraction so its denominator is a multiple of 10, making it simpler to express as a decimal.
Step 1: Step 1: Multiply both the numerator and denominator of 13/20 by 5 to get 65/100
Step 2: Step 2: Recognize that 65/100 is equal to 0.65 in decimal form
Step 1:
Step 2:
Math Tutor suggests: More Fraction to Decimal Practice
Strengthen your understanding of converting fractions to decimals with these helpful examples and exercises.
FAQ on Fraction to Decimal Conversion
Why do we convert fractions to decimals?
Decimals are often more useful in real-world applications such as measurement, money, and comparing sizes.
Can all fractions be written as a terminating decimal?
No, only fractions whose denominators have factors of 2 and/or 5 will terminate; others will become repeating decimals.
How can you check your decimal conversion?
You can multiply the decimal by the original denominator and check if you get back the numerator.
Is 0.65 the same as 65%?
Yes, 0.65 as a decimal is equivalent to 65%.
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