Fractions 11
(iv) Hence,3
4−7
16=12
16−7
16=5
16− =Problem 6. Simplify 42
3− 11
64
2
3− 11
6is the same as(
42
3)
−(
11
6)
which is thesame as
(
4 +2
3)
−(
1 +1
6)
which is the same as4 +
2
3− 1 −1
6which is the same as 3+2
3−1
6whichis the same as 3+
4
6−1
6= 3 +3
6= 3 +1
2Thus, 4
2
3− 11
6= 31
2Problem 7. Evaluate 71
8− 53
771
8− 53
7=(
7 +1
8)
−(
5 +3
7)
= 7 +1
8− 5 −3
7= 2 +1
8−3
7= 2 +7 × 1 − 8 × 3
56= 2 +7 − 24
56= 2 +− 17
56= 2 −17
56=112
56−17
56=112 − 17
56=95
56= 139
56
Problem 8. Determine the value of45
8− 31
4+ 12
545
8− 31
4+ 12
5=( 4 − 3 + 1 )+(
5
8−1
4+2
5)= 2 +5 × 5 − 10 × 1 + 8 × 2
40= 2 +25 − 10 + 16
40= 2 +31
40= 231
40Now try the following Practice ExercisePracticeExercise 5 Introduction to
fractions (answers on page 340)- Change the improper fraction
15
7into a
mixed number.- Change the improper fraction
37
5into a
mixed number.- Change the mixed number 2
4
9into an
improper fraction.- Change the mixed number 8
7
8into an
improper fraction.- A box contains 165 paper clips. 60 clips
are removed from the box. Express this as
a fraction in its simplest form. - Order the followingfractions from the small-
est to the largest.
4
9,5
8,3
7,1
2,3
5- A training college has 375 students of which
120 are girls. Express this as a fraction in its
simplest form.
Evaluate, in fraction form, the expressions given in
Problems 8 to 20.
8.
1
3+2
59.5
6−4
1510.1
2+2
511.7
16−1
412.
2
7+3
1113.2
9−1
7+2
3- 3
2
5
− 21
315.7
27−2
3+5
9- 5
3
13
+ 33
4- 4
5
8− 32
5- 10
3
7− 82
3- 3
1
4− 44
5+ 15
6- 5
3
4− 12
5− 31
2