August 18, 2016

by leesclassroom

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Group 1: using fraction wall find as many equivalent fractions of the following: ½, 1/3, ¼, 1/5, ¾, 2/5, 2/8,

Use your answers to create equations with SIMILAR fractions that you can solve:

½ + ¼= 1/3 + 4/6= 1/5 + 3/10= ¾ + 1/8= 2/5+ 4/10= 2/8 + 1/4= 3/4 – ¼= ¾- 2/8= 5/10 – 1/5=

Can you make your own equations using what you have learned?

Group 2

Find a common denominator of these to turn them into SIMILAR FRACTIONS/ then add the two fractions (remember to simplify at the end…you may need to turn improper fractions back to mixed numbers!):

1/10 and ¼

1/10 and 4/5

1/6 and 1/12

¼ and 1/12

½ and 1/10

1/8 and ¼,

2/3 and 5/6

2/3 and 8/9

1/7 and 3/14

¾ and 5/6

5/6 and 7/12

¾ and 5/6

7/9 and 5/6

3/8 and 2/5

2/7 and ¾

4/5 and 3/7

3/10 and 3/8

Grp 3: NEW INFO

We can avoid the need to simplify at the end by finding the lowest common multiple of the denominators.

The lowest common denominator of the denominators is the lowest common multiple of the denominators, e.g. 1/10+1/4.

The denominators are 10 and 4. Find the lowest common multiple of 10 and 4.

To find this – use your times tables/skip counting patterns for each until you find a number that is in both:

e.g:

4,8,12,16,20, 24, 28

10, 20,30, 40, 50

So 20 is the **lowest common denominator**

**Find LCD for these then **add the two fractions (remember to simplify at the end…you may need to turn improper fractions back to mixed numbers!):

7/10 and ¼

2/3 and 4/5

5/8 and 1/12

¼ and 7/12

4/6 and 3/18

1/8 and 4/16,

2/3 and 5/6

2/3 and 8/9

1/3 and 3/15

¾ and 5/6

5/6 and 7/12

7/9 and 5/6

3/8 and 2/5

2/6 and ¾

4/5 and 3/7

3/6 and 3/8

**… **Frameworks Year 6: chapter 7 page 161 Activity 6 including the worded problems and the Puzzles