converting mixed numbers and improper fractions powerpoint
TRANSCRIPT
Converting Mixed Numbers and
Improper Fractions
PowerPoint
What is an improper fraction?
An improper fraction is afraction where the numerator
is larger than the denominator.
Example:783
What is a mixed number?
A mixed number is a whole number and a fraction.
Example:
7 1 2
Mixed Numbers vs. Improper Fractions
When you convert or change an improper fraction to a mixed number or a mixed
number to an improper fraction, the values of each are still the same. Look at how this
improper fraction and mixed number represent the same amount.
3
72
12
means we have seven½ pieces
12
12
12
12
12
12
12
12
means we have 3
wholes and another ½.
12
12
1 1 1
Converting Mixed Numbers to Improper Fractions
1. Multiply the denominator of the fraction by the whole
number.2. Add the numerator to the
product. 3. Put that sum over the
original denominator.
Converting Mixed Numbers to Improper Fractions
Example
7
Step 1: 2 x 7 = 14Step 2: 14 + 1 = 15
Step 3:
1 2x
+
15 2
Practice
Convert the following mixed numbers toImproper fractions.
5 8 9
7 4 3
2 7
4 9
1 3
3 8
2 5
6 7
Converting Improper Fractions to Mixed Numbers
1. Divide the numerator by the denominator.
2. The quotient is your whole number.
3. Put the remainder over the original denominator to get
your fraction.
Converting Improper Fractions to Mixed Numbers
Example
7 R 1
2 15 7 -14
1
15 2
1 2
Practice
Convert the following improper fractionsto mixed numbers.
19 3
44 6
76 5
39 8
97 4
64 6