22.6.20 li: to multiply and divide fractions · unit fractions of amounts (÷ by the denominator, x...
TRANSCRIPT
![Page 1: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/1.jpg)
22.6.20LI: To multiply and divide fractions
![Page 2: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/2.jpg)
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=
![Page 3: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/3.jpg)
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
![Page 4: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/4.jpg)
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=
![Page 5: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/5.jpg)
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 =
![Page 6: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/6.jpg)
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 =
![Page 7: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/7.jpg)
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
![Page 8: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/8.jpg)
23.6.2020LI: To add and subtract fractions
![Page 9: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/9.jpg)
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=
![Page 10: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/10.jpg)
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
![Page 11: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/11.jpg)
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 -
![Page 12: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/12.jpg)
1.1
4+
3
8=
2.3
10−
1
5=
3. 22
9+
4
6=
4. 33
4−
3
5=
![Page 13: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/13.jpg)
Task
+ and – fractions sheet
Challenge: Adding fraction pyramids
![Page 14: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/14.jpg)
24.6.2020LI: To find fractions of amounts
![Page 15: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/15.jpg)
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
![Page 16: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/16.jpg)
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
![Page 17: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/17.jpg)
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 =
![Page 18: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/18.jpg)
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 =
![Page 19: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/19.jpg)
Task
Start on Level 1 or 2
÷ the whole number by the denominator
X answer by numerator
![Page 20: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/20.jpg)
25.6.2020LI: Mixed fraction revision
![Page 21: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/21.jpg)
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 =
![Page 22: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/22.jpg)
+ and - fractions
1.1
4+
3
8=
2.3
10−
1
5=
3.2
9+
4
6=
![Page 23: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/23.jpg)
Fractions of amounts
2
5of 125 =
2
8of 968 =
5
7of 854 =
![Page 24: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/24.jpg)
Fractions, Decimals and Percentages
Fraction Decimal Percentage
2
10
0.67
95%
![Page 25: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/25.jpg)
Mixed to improper
1. 45
10=
2. 33
6=
3. 14
6=
4. 81
4=
![Page 26: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/26.jpg)
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
![Page 27: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/27.jpg)
26.6.2020
Maths challenge
![Page 28: 22.6.20 LI: To multiply and divide fractions · Unit fractions of amounts (÷ by the denominator, x by the numerator) 1 5 of 30 = 6 (30 ÷ 5 = 6 6 x 1 = 6) 1 7 of 84 = 12 (84 ÷ 7](https://reader034.vdocuments.site/reader034/viewer/2022043008/5f9928cf48fca26992732af7/html5/thumbnails/28.jpg)
Answers