Operating with Fractions SACHS
e.g.
Your turn:
1.
→ multiply or divide both terms by the same amount
2
7
3
5
=
x4
=
​x4
Equivalent fractions
14
12
20
and
2.
24
32
3
4
=
÷2

÷2
=
16
12
15
e.g.
Your turn:
3.
→ divide both terms by the same amount (HCF).
14
4
15
9
=
÷3
=
÷3
Simplifying fractions
3
5
and
4.
24
32
6
15
=
÷8
÷8
=
4
3
e.g.
Your turn:
5.
→ number x denominator + numerator
3
2
1
4
+
x
3
5
=
=
Convert to Improper fractions
4
13
5
and
6.
4
+
x
3
4
5
10
3
=
=
19
4
e.g.
Your turn:
7.
→ divide by the denominator
→ the remainder stays in fraction form
13
5
4
9
=
→ 13 divided by 5 = 2 r 3 →
Convert to Mixed numerals
4
8.
17
3
=
=
2
3
5
Your turn:
9.
e.g.
→ only add / subtract the numerators
7
2
5
3
11.
+
+
7
3
1
5
4
5
=
=
Add / subtract fractions
+
5
4
3
5
and
=
5
6
7
10.
=
10
8
4
7
=
5
10
[same denominator]
5
7
2
=
e.g.
→ create equivalent fractions with common denominators
→ only add / subtract the numerators
=
=
5 x
15
20
4
19
3
20
+
+
20
4
5
1
Add / subtract fractions
x 4
12.
=
10
5
2
Your turn:
+
+
1
2
[different denominator]
=
e.g.
→ create equivalent fractions with common denominators
→ only add / subtract the numerators
=
=
5 x
15
20
4
19
3
20
+
+
20
4
5
1
Add / subtract fractions
x 4
13.
=
15
5
4
Your turn:
1
3
[different denominator]
=
Your turn:
14.
e.g.
→ multiply the numerators
→ multiply the denominators
7
2
5
3
16.
×
×
5
3
3
4
2
5
=
=
Multiplying fractions
×
20
9
3
4
and
=
5
7
15.
=
×
2
3
2
3
×
=
1
3
21
10
=
18.
Your turn:
17.
e.g.
→ put the whole number over 1 and multiply
5
2
4
3
5
3
×
×
×
15
20
100
=
=
Fractions of whole numbers
=
4
3
5
3
5
2
×
×
×
15
1
=
=
45
5
=
4
= 9
=
5
=
20.
Your turn:
19.
e.g.
→ 'Invert and multiply'
4
1
2
3
5
3
÷
÷
÷
3
2
5
3
3
4
=
=
=
Dividng fractions
4
1
5
2
3
3
×
×
×
4
3
=
=
=
12
15
÷3
÷3
=
=
4
5
21.
20.
Your turn:
e.g. 30 sec out of 2 minutes =
→ convert to the same (smaller) unit
→ simplify as a fraction
12 h out of 1 day =
50 g out of 1 kg =
Express as a fraction
1 kg
50 g
12 h
1d
=
=
12 h
50 g
30 s
2 m
h
=
g
=
=
120 s
30 s
12
1000
=
=
120
30
=
1
÷30
÷30
5
=
1
4
=
20
1
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