Since we multiplied 7 by 6 to get 42, we do the same to 5.
| Arithmetic Fractions |
Arithmetic Fractions
A) Equivalent Fractions:
Remember there's no prejudice in math -- what you do to the top, you do to the bottom!
example: Fill in the blank space to create an equivalent fraction:
Since we multiplied 7 by 6 to get 42, we do the same to 5.
The solution is 
But, 6/6 = 1, so we haven't changed the value of the original fraction. We just multiplied it by one.
Equivalent Fractions Exercise #1:
Fill in the blanks to create an equivalent fraction.
a)  |
b)  |
c)  |
d)  |
e)  |
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B) Reducing Fractions to Lowest Terms
Just as we can get equivalent fractions when we multiply by one, we can do the same when we divide by one. In this case we reduce the fraction to lowest terms. So, instead of leaving an answer of 15/20, we would reduce it to 3/4,
since 
Equivalent Fractions Exercise #2:
Now we divide top and bottom by the same value
Factor these fractions then Reduce to lowest terms.
a)  |
b)  |
c)  |
d)  |
e)  |
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C) Integers (whole numbers) and Mixed Numbers as Fractions
When we need to turn mixed numbers into improper fractions, we change the integer part of the mixed number to a fraction with the right denominator like this.
Example: Change 
into an improper fraction.
Solution: Since 
Equivalent Fractions Exercise #3:
Rewrite these mixed numbers as improper fractions.
a)  |
b)  |
c)  |
d)  |
e)  |
.
Solutions
Equivalent Fractions Exercise #1:
a)  |
b)  |
c)  |
d)  |
e)  |
.
Equivalent Fractions Exercise #2:
Factor these fractions then Reduce to lowest terms.
a)  |
b)  |
c)  |
d)  |
e)  |
.
Equivalent Fractions Exercise #3:
Rewrite these mixed numbers as improper fractions.
a)  |
b)  |
c)  |
d)  |
e)  |
.
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