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Mixed Numbers and Improper Fractions
Transcript of Mixed Numbers and Improper Fractions
What is a mixed number?
These are examples of mixed numbers
What is an improper fraction?
Total number of parts in each shape
These are examples of improper fractions
Converting an improper fraction to a mixed number
Notice how the denominator stays the same
when converting from an improper
fraction to a mixed number
Notice how the denominator stays the same when converting from a mixed number to an improper fraction
Adding fractions requires a common denominator
A + C = AD + CB = AD + CB
B + D = BD + BD = BD
Subtracting fractions requires a common denominator
A - C = AD - CB = AD - CB
B - D = BD - BD = BD
Multiplying fractions is easy
A * C = AC
B * D = BD
Dividing fractions requires one more step
A / C = A*D = AD
B D = B*C BC
Click on the hyperlink below so you can practice adding, subtracting, multiplying, and dividing fractions!
Remember, the denominator for the improper fraction is the number of sections in each shape (3 in this case).
An Improper Fraction is a fraction where the numerator is greater than the denominator
Shaded parts in all the shapes
Number of fully shaded parts
Parts shaded in remaining shape
Number of total parts in each shape
An improper fraction
is greater than 1
because it has its
than the denominator.
Converting a mixed
an improper fraction
To convert an improper fraction to a mixed number:
1. Divide the numerator by the denominator to find the whole number.
2. The remainder becomes the new numerator
3. The denominator remains the same.
What is an improper fraction
1. Multiply the denominator by the
2. Add the product to the numerator.
3. Keep the denominator the same.