Reviewed by Mary Grace Carlos
Convert 0.6 into a fraction
Answer: 0.6 as a fraction is 3/5
Converting decimals to fractions is a common math task that helps bridge the understanding between two different numeric forms. Here, we will explore how to express 0.6 as a simplified fraction, making it easier to use in various mathematical operations.
Methods
Math Tutor Explanation Using Place Value Method
This method leverages the position of the digit in the decimal number to quickly convert it into a fraction.
Step 1: Step 1: Recognize that 0.6 means six-tenths or 6/10
Step 2: Step 2: Simplify 6/10 by dividing both numerator and denominator by their greatest common divisor, which is 2
Math Tutor Explanation Using Multiplying by Powers of 10 Method
You can eliminate the decimal by multiplying by the appropriate power of 10, then simplify the resulting fraction.
Step 1: Step 1: Multiply 0.6 by 10 to get 6 (since there is one digit after the decimal point)
Step 2: Step 2: Write it as 6/10, and then simplify to 3/5
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Explore more problems where you convert decimals into fractions. Here are some helpful exercises to strengthen your skills.
FAQ on Decimals and Fractions
What is a decimal?
A decimal is a way of representing numbers that are less than one using powers of ten.
Do all decimals convert to simple fractions?
All terminating decimals can be converted to fractions. Some repeating decimals also convert to fractions, but irrational decimals cannot.
How can you simplify a fraction?
You simplify a fraction by dividing both the numerator and denominator by their greatest common divisor.
What if the decimal repeats endlessly?
If the decimal is repeating, you can use algebraic techniques to express it as a fraction.
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