22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x...
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22.6.20 LI: To multiply and divide fractions
Transcript of 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x...
22.6.20LI: To multiply and divide fractions
Starter – Mixed to improper
23
4=
11
4( 2 x 4 = 8 + 3 = 11)
(whole no. x denominator. Then + numerator).
1. 45
10=
2. 33
6=
3. 14
6=
4. 81
4=
5. 127
9=
6. 23
7=
7. 54
5=
8. 72
9=
9. 113
12=
10. 64
11=
Answers
23
4=
11
4( 2 x 4 = 8 + 3 = 11)
(whole no. x denominator. Then + numerator).
1. 45
10=
45
10
2. 33
6=
21
6
3. 14
6=
10
6
4. 81
4=
33
4
5. 127
9=
115
9
6. 23
7=
17
7
7. 54
5=
29
5
8. 72
9=
65
9
9. 113
12=
135
12
10. 64
11=
70
11
Fraction x fraction
Remember… x numerator and x denominator
3
5x
5
7= 15
35
10
12x
3
7=
5
9x
6
8=
52
3x
6
12=
35
8x
4
11=
19
11x
7
12=
Fraction x whole no.
Remember… numerator x whole no.
2
6x 5 =
10
6
11
12x 9 =
6
9x 10 =
34
8x 6 =
23
7x 7 =
17
10x 8 =
Fraction ÷ whole no.
Remember… denominator x whole no.
2
6÷ 5 =
2
30
6
10÷ 9 =
5
6÷ 7 =
27
8÷ 6 =
14
9÷ 3 =
42
5÷ 8 =
Task
Work through mixed questions.
Remember to convert any mixed fractions to improper.
Challenge: simplify your answers to their lowest form
Fraction x whole no.
X numerator
Fraction x fraction
X numerator X denominator
Fraction ÷ whole no.
X denominator
23.6.2020LI: To add and subtract fractions
Starter – + and – fractions same denominator1.
2
7+ 4
7=
2.3
12+
8
12=
3.6
11+
9
11=
4.8
10-
7
10=
5. 2
3+ 2
3=
6. 33
6-5
6=
7. 111
12+
8
12=
8. 25
7-6
7=
9. 25
9+ 1
5
9=
10. 16
12+ 3
4
12=
11. 34
5- 2
3
5=
12. 52
8- 3
4
8=
Starter – ANSWERS
1.2
7+ 4
7=
6
7
2.3
12+
8
12=
11
12
3.6
11+
9
11=
15
11
4.8
10-
7
10=
1
10
5. 2
3+2
3=
4
3
6. 33
6-2
6=
19
6
7. 111
12+
8
12=
31
12
8. 25
7-6
7=
13
7
9. 25
9+ 1
5
9=
37
9
10. 16
12+ 3
4
12=
58
12
11. 34
5- 2
3
5=
6
5
12. 52
8- 3
4
8=
14
8
Adding and subtraction fractions with different denominators
Step 1: Write out x tables
Step 2: Find common multiple
Step 3: x numerator and denominator
Step 4: + or -
1.1
4+
3
8=
2.3
10−
1
5=
3. 22
9+
4
6=
4. 33
4−
3
5=
Task
+ and – fractions sheet
Challenge: Adding fraction pyramids
24.6.2020LI: To find fractions of amounts
Starter - percentages
1) 10% of 842
2) 10% of 952
3) 10% of 28.8
4) 20% of 86.4
5) 60% of 31.6
6) 5% of 240
7) 5% of 960
8) 5% of 580
9) 5% of 27.8
10) 5% of 92.6
11) 1% of 23412) 1% of 38213) 1% of 92.614) 7% of 73015) 9% of 321
16) 25% of 38017) 35% of 92618) 22% of 38419) 13% of 13420) 32% of 324
Starter - Answers
1) 84.2
2) 95.2
3) 2.88
4) 17.28
5) 18.96
6) 12
7) 48
8) 29
9) 1.39
10) 4.63
11) 2.3412) 3.8213) 0.92614) 51.115) 28.89
16) 9517) 324.118) 84.4819) 17.4220) 103.68
Unit fractions of amounts(÷ by the denominator, x by the numerator)
1
5of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6)
1
7of 84 = 12 (84 ÷ 7 = 12 12 x 1 = 12)
1
12of 132 =
1
9of 459 =
1
6of 252 =
Non-unit fractions of amounts(÷ by the denominator, x by the numerator)
3
5of 25 = 15 (25 ÷ 5 = 5 5 x 3 = 15)
2
6of 96 = 32 (96 ÷ 6 = 16 16 x 2 = 32)
2
5of 125 =
2
8of 968 =
5
7of 854 =
Task
Start on Level 1 or 2
÷ the whole number by the denominator
X answer by numerator
25.6.2020LI: Mixed fraction revision
X and ÷ fractions
3
5x
5
7= 15
35
10
12x
3
7=
5
9x
6
8=
2
6x 5 =
10
6
11
12x 9 =
6
9x 10 =
2
6÷ 5 =
2
30
6
10÷ 9 =
5
6÷ 7 =
+ and - fractions
1.1
4+
3
8=
2.3
10−
1
5=
3.2
9+
4
6=
Fractions of amounts
2
5of 125 =
2
8of 968 =
5
7of 854 =
Fractions, Decimals and Percentages
Fraction Decimal Percentage
2
10
0.67
95%
Mixed to improper
1. 45
10=
2. 33
6=
3. 14
6=
4. 81
4=
Task
Work through the mixed fraction questions.
If you get stuck on which method to do, look at your work from earlier in the week and last week
26.6.2020
Maths challenge
Answers
![Mixed Fractions - Addition and Subtraction Class 6...Thus, the simplified value of the given fractions is 14 7 8. ID : in-6-Mixed-Fractions-Addition-and-Subtraction [9] (C) 2016 Edugain](https://static.fdocuments.in/doc/165x107/5f59799aafa4520ae1630d35/mixed-fractions-addition-and-subtraction-class-6-thus-the-simplified-value.jpg)
