Reviewed by Jo-ann Caballes
What is 3/5 as a decimal?
Answer: 3/5 as a decimal is 0.6
Converting fractions to decimals is a key math skill. The fraction 3/5 represents three parts out of five. By expressing 3/5 as a decimal, we can compare it easily with other numbers in decimal form, making calculations and understanding values more straightforward.
Methods
Math Tutor Explanation Using the Division Method
The most direct way to turn a fraction into a decimal is to divide the numerator (top number) by the denominator (bottom number).
Step 1: Step 1: Divide 3 (numerator) by 5 (denominator)
Step 2: Step 2: 3 divided by 5 equals 0.6
Math Tutor Explanation Using Equivalent Fractions with a Power of 10 Denominator
Another way is to rewrite the fraction with a denominator that is a power of 10, making it easy to read as a decimal.
Step 1: Step 1: Multiply both the numerator and denominator by 2 to get 6/10
Step 2: Step 2: The fraction 6/10 is equal to 0.6
Step 1:
Step 2:
Math Tutor suggests: More Fraction to Decimal Practice
Want more practice converting fractions to decimals? Check out these related exercises to strengthen your skills.
FAQ on Fraction to Decimal Conversion
Can every fraction be written as a decimal?
Yes, any fraction can be written as a decimal, but some may result in repeating or terminating decimals.
Is 0.6 a terminating or repeating decimal?
0.6 is a terminating decimal because the decimal ends after one digit.
How do you convert a decimal back to a fraction?
Write the decimal over its place value (e.g., 0.6 is 6/10), then simplify if possible.
What are common uses for dividing fractions as decimals?
Decimals make it easier to compare values, perform calculations, and handle measurements in real life.
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