1-7. CHANGING MIXED NUMBERS TO IMPROPER FRACTIONS
To change a mixed number to an improper fraction, multiply the denominator by the
whole number and then add the numerator to this amount. This product will become the
new numerator and the denominator will remain the same. For example:
Improper
Mixed Number
Fraction
(1)
1 1/2 =
2x1+1
=
3/2
(2)
4 7/8 =
8x4+7
=
3 9/8
(3)
2 3/8 =
8x2+3
=
9/8
b.
Change the following mixed numbers to improper fractions.
(1)
2 3/4
=
____ x ____
+
____ =
_____
(2)
12 1/4
=
____ x ____
+
____ =
_____
(3)
2 1/9
=
____ x ____
+
____ =
_____
(4)
5 4/9
=
____ x ____
+
____ =
_____
Answers: (1) 11/4
(2) 49/4,
(3) 19/9,
(4) 49/9
1-8. ADDING FRACTIONS
a.
Use the following steps when adding fractions:
(1)
Find a common denominator for all fractions.
(2)
Add the numerators only.
(3)
The denominator remains the same.
(4)
Reduce the answer to lowest terms, if necessary.
b.
For example:
Steps 2
Step 4
Step 1
and 3
(1)
1/2 + 1/4 =
2/4 + 1/4 =
3/4
(2)
3 /4 + 2/6 =
9/12 + 4/12 =
13/12 =
1 1/12
MD0802
1-8