Reviewed by Jo-ann Caballes
What is 3.5 as a Fraction?
Answer: 3.5 as a fraction is 7/2
Converting decimal numbers like 3.5 to fractions is a common skill in mathematics. Fractions represent parts of a whole, and decimal numbers can always be expressed as fractions with numerators and denominators. Understanding this conversion helps in comparing quantities, performing arithmetic operations, and solving practical problems.
Methods
Math Tutor Explanation Using the Place Value Method
This method turns 3.5 into a fraction by identifying the place value of the decimal, then simplifying the resulting fraction.
Step 1: Step 1: Write 3.5 as 35/10 based on the place value of the decimal
Step 2: Step 2: Simplify 35/10 by dividing both numerator and denominator by their greatest common divisor, which is 5
Math Tutor Explanation Using the Mixed Number Method
This approach expresses 3.5 as a mixed number and then converts it to an improper fraction.
Step 1: Step 1: Recognize 3.5 as 3 and 0.5
Step 2: Step 2: Write 0.5 as 1/2, making the mixed number 3 1/2
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Want to get better at converting decimals into fractions? Try these similar exercises for more practice.
FAQ on Converting Decimals to Fractions
Is 3.5 an improper fraction?
Yes, when written as 7/2, it is considered an improper fraction.
How do you convert a decimal to a fraction?
Write the decimal over its place value and simplify.
Can all decimals be written as fractions?
All terminating and repeating decimals can be expressed as fractions.
What is the mixed number form of 3.5?
The mixed number form of 3.5 is 3 1/2.
Why do we simplify fractions?
Simplifying fractions makes them easier to read and use in calculations.
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