Since we multiplied the 7 in the denominator by 6 to get 42,
we do the same to the 5 in the numerator.
| FRACTIONS 2 |
Equivalent 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 the 7 in the denominator by 6 to get 42,
we do the same to the 5 in the numerator.
The solution is 
But, 6/6 = 1, so we haven't changed the value of the original fraction. We just multiplied it by one.
Now get a pencil, an eraser and a note book, copy the questions,
do the practice exercise(s), then check your work with the solutions.
If you get stuck, review the examples in the lesson, then try again.
Equivalent Fractions Exercise #1:
Fill in the blanks to create an equivalent fraction.
a)  |
b)  |
c)  |
d)  |
e)  |
.
Now continue with the lesson
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 
Now get a pencil, an eraser and a note book, copy the questions,
do the practice exercise(s), then check your work with the solutions.
If you get stuck, review the examples in the lesson, then try again.
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)  |
C) Integers (whole numbers) and Mixed Numbers as Fractions
When we need to change a mixed number into an improper fraction, we change the whole number part of it into a fraction by multiplying it by 1 written as a fraction using the denominator of the fraction part of the mixed number -- like this. (recall that any whole number is a fraction with 1 in the denominator.)
Example: Change 
into an improper fraction.
Solution: Since 
Now get a pencil, an eraser and a note book, copy the questions,
do the practice exercise(s), then check your work with the solutions.
If you get stuck, review the examples in the lesson, then try again.
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)  |
