In this unit, students will be expected to be able to add and subtract fractions and mixed numbers. This will include regrouping.
Here are helpful websites with examples and detailed explanations:
Fractions
Mixed Numbers
Fraction Games for Practice:
Fruit Splat
Virtual Board Game
Speedway
All Fraction Operations & Number Sense
Here are helpful websites with examples and detailed explanations:
Fractions
Mixed Numbers
Fraction Games for Practice:
Fruit Splat
Virtual Board Game
Speedway
All Fraction Operations & Number Sense
ADD & SUBTRACT FRACTIONS
1. Find a common denominator and change the fractions to equivalent fractions with this denominator.
2. Add/Subtract the numerators
3. Keep the Denominator the same
4. Simplify, if possible.
1. Find a common denominator and change the fractions to equivalent fractions with this denominator.
2. Add/Subtract the numerators
3. Keep the Denominator the same
4. Simplify, if possible.
EXAMPLES: (click to see the whole picture)
ADD & SUBTRACT MIXED NUMBERS
To add and subtract mixed numbers, the steps are nearly identical to adding & subtracting with fractions, but you must also add/subtract the whole numbers.
To add and subtract mixed numbers, the steps are nearly identical to adding & subtracting with fractions, but you must also add/subtract the whole numbers.
ADD & SUBTRACT MIXED NUMBERS WITH REGROUPING
Just as with whole numbers, regrouping may be necessary when adding and subtracting mixed numbers.
When adding, follow the same steps as with adding any other mixed numbers. The improper fraction must be changed to a mixed number, and added to the other whole numbers.
When subtracting, the borrowing must occur before the other calculations. Remember to add the denominator to the numerator, and subtract one from the whole number.
Just as with whole numbers, regrouping may be necessary when adding and subtracting mixed numbers.
When adding, follow the same steps as with adding any other mixed numbers. The improper fraction must be changed to a mixed number, and added to the other whole numbers.
When subtracting, the borrowing must occur before the other calculations. Remember to add the denominator to the numerator, and subtract one from the whole number.
EXAMPLES: (click to see the whole picture)