So far, we have operated on two or more fractions to make a single fraction.
Can we decompose a fraction into the sum or difference of two algebraic fractions?
1. Fill in the blanks with positive integers.
a.
13/15
=
/3
+
/5
b.
13/28
=
/4
−
/7
c.
2x+6/3x
=
/3
+
/x
d.
−8x+35/10x
=
/2x
−
/5
e.
1+2x/x2
=
/x
+
/x2
2. Fill in the blanks with positive integers.
a.
9x+5/x(x+1)
=
/x
+
/x+1
b.
5x−4/(x−2)(x+1)
=
/x−2
+
/x+1
3. Fill in the blanks with integers (may be positive or negative).
a.
x+5/(x−3)(x+1)
=
/x−3
+
/x+1
b.
−8x+30/(2x−3)(x−6)
=
/2x−3
+
/x−6
4. Fill in the blanks with integers (may be positive or negative).