Proper Fractions
What is a proper fraction?
A fraction where the numerator is less than the denominator.
What is an improper fraction?
A fraction where the numerator is greater than or equal to the denominator.
What are like denominators?
Denominators that are the same.
What are unlike denominators?
Denominators that are different.
Give an example of a proper fraction.
Example: 3/4
Give an example of an improper fraction.
Example: 5/3
How do you subtract fractions with like denominators?
Subtract the numerators and keep the same denominator.
How do you add fractions with unlike denominators?
Find a common denominator, convert the fractions, then add.
How do you add two proper fractions with the same denominator?
Add the numerators and keep the same denominator.
How do you convert an improper fraction to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number and the remainder is the new numerator.
If you have 2/5 and 3/5, what is their sum?
2+3/5=5/5=1
What is the first step when subtracting fractions with unlike denominators?
Find a common denominator.
What happens when you subtract a proper fraction from a whole number?
The result is a mixed number if the fraction is less than the whole number.
What happens when you add an improper fraction and a proper fraction?
You can add them directly and may need to convert the result to a mixed number.
How do you add 1/8 and 3/8?
Add the numerators: 1+3/8=4/8=1/2
If you have 1/3 and 1/6, what is their sum?
Convert to like denominators: 2/6+1/6=3/6=1/2
Can a proper fraction ever equal 1? Why or why not?
No, because the numerator is always less than the denominator.
Can improper fractions be simplified? Give an example.
Yes, Example: 84 simplifies to 2.
xplain why it’s easier to add fractions with like denominators than unlike.
You only need to add the numerators and keep the same denominator, simplifying the process.
Why is it important to find a common denominator before adding or subtracting fractions?
To ensure the fractions are compatible for accurate addition or subtraction.