Mixed Numbers and Improper Fractions
A mixed number is a combinationof a whole number and a fraction. For example...
An improper fraction is a fraction inwhich the numerator is larger thanthe denominator.
4
31
4
7For example...
Every improper fractionhas an equivalent
mixed number and vice versa.4
74
31
Mixed Numbers and Improper Fractions
4
7
4
31
I wonder how I canchange a mixed numberto an improper fraction?
Mixed Numbers and Improper Fractions
4
31
STEP 1 - Multiply the denominatorand the whole number.
4 x 1
Mixed Numbers and Improper Fractions
4
31
STEP 1 - Multiply the denominatorand the whole number.
4 x 1 = 44
Mixed Numbers and Improper Fractions
4
31
STEP 1 - Multiply the denominatorand the whole number.
4 x 1 = 4
STEP 2 - Add the product to the numerator.
4
4 + 3
Mixed Numbers and Improper Fractions
4
31
STEP 1 - Multiply the denominatorand the whole number.
4 x 1 = 4
STEP 2 - Add the product to the numerator.
4
4 + 3 = 7
7
Mixed Numbers and Improper Fractions
4
31
STEP 1 - Multiply the denominatorand the whole number.
4 x 1 = 4
STEP 2 - Add the product to the numerator.
4 + 3 = 7
7
STEP 3 - The sum becomes the newnumerator.
?
7
Mixed Numbers and Improper Fractions
4
31
STEP 1 - Multiply the denominatorand the whole number.
4 x 1 = 4
STEP 2 - Add the product to the numerator.
4 + 3 = 7STEP 3 - The sum becomes the newnumerator.
4
7 STEP 4 - The denominatorstays the same.
Mixed Numbers and Improper Fractions
4
31
STEP 1 - Multiply the denominatorand the whole number.
4 x 1 = 4
STEP 2 - Add the product to the numerator.
4 + 3 = 7STEP 3 - The sum becomes the newnumerator.
4
7 STEP 4 - The denominatorstays the same.
So...
Mixed Numbers & Improper Fractions
5
23
STEP 1 - Multiply the denominatorand the whole number.
STEP 2 - Add the product to the numerator.
STEP 3 - The sum becomes the newnumerator.
STEP 4 - The denominator stays the same.
5
17
Mixed Numbers & Improper Fractions
3
15
STEP 1 - __________ the __________and the _______________.
STEP 2 - _______ the ____________ to the ____________.
STEP 3 - The _______ becomes the new _______________.
STEP 4 - The _______________ stays the __________.
3
16
Mixed Numbers and Improper Fractions
I wonder how I wouldchange an improper
fraction to amixed number?
4
74
31
Mixed Numbers and Improper Fractions
4
7
The fraction bar is anotherway of writing a division
sign.
Means... 47 4
7
So...
Mixed Numbers and Improper Fractions
74STEP 1 - Ask how many times the 4 willgo into the 7.
4 will go in 1 time.
Mixed Numbers and Improper Fractions
174
STEP 1 - Ask how many times the 4 willgo into the 7.
4 will go in 1 time.
Put a 1 above the 7.
Mixed Numbers and Improper Fractions
174
STEP 1 - Ask how many times the 4 willgo into the 7.
4 will go in 1 time.
Put a 1 above the 7.
Take 1 times 4...
Mixed Numbers and Improper Fractions
174
STEP 1 - Ask how many times the 4 willgo into the 7.
4 will go in 1 time.
Put a 1 above the 7.
Take 1 times 4...441
Mixed Numbers and Improper Fractions
STEP 1 - Ask how many times the 4 willgo into the 7.
4 will go in 1 time.
Put a 1 above the 7.
Take 1 times 4… and subtract theanswer from the 7.441
1744
Mixed Numbers and Improper Fractions
STEP 1 - Ask how many times the 4 willgo into the 7.
4 will go in 1 time.
Put a 1 above the 7.
Take 1 times 4... and subtract theanswer from the 7.
17443
Mixed Numbers and Improper Fractions
17443
4
3 STEP 2 - The remainder becomes the newnumerator…and the denominator stays thesame.
So...