Name: ________________________________________________________ Date: ______________________ Math 7: Complex Fractions CoMpLeX Fractions 3 54
1
23
Complex Fraction – a fraction in which the numerator, the denominator, or both are fractions. *In most cases we should not write a fraction within a fraction however, in some cases we need to write one in order to organize our information. Ex 1) Josh runs 12 miles in 1.92 hours. How do you find his average rate of speed in miles per hour? 12 miles
6.25 miles
=
= 6.25 miles per hour 1.92 hours
1 hour
1
1
Ex 2) Mike can run 1 miles in of an hour. How would you find his average rate of speed in miles per hour? 4
3
Unless told otherwise, all complex fractions must be simplified. To Simplify a Complex Fraction: Re-­‐write the VERTICAL complex fraction as a HORIZONTAL division problem and then solve. Simplify the following complex fractions. All final answers should be reduced and proper. 1) 2
3
3
4
4
5
3
4
2) 4) 6) 8) 2
3
2
8
5
6
− 43
+
2
3
−3
4
4
−2
4
+
3
5
3) 5) 7) 1
5
7
−1
2
3
7
4 53
5
7
6 54
9) 2
45
2 15
−4
10) −1
5
12) −2
7
4 15
14) 3
27
11) 1
13) 2
5
−8
9
+
15) 4
5
3
4
4
5
−2
9
−
16) 4
5
3
4
1
2
1
5
17) 5
18) 4
5
−3
5
19) 7
3
8
3
4
1
2
5
6
3
4