Question

Please help, I really struggle with this! anythibg will help​

Answer 1

Answers:
1) 3/8 + 3/6 = 7/8

3/8 + 3/6
Simplify

3/4 + 1/2
Transform the expression

3 + 4/8
Calculate

=7/8
_____________

2) 5/9 + 1/3 = 8/9

5/9 + 1/3
Transform the expression

5 + 3/9
Calculate

= 8/9
_____________

3) 5/12 + 7/8 = 31/24

5/12 + 7/8
Transform the expression

10 + 21/24
Calculate

= 31/24
_____________

4) 7/9 - 1/6 = 11/18

7/9 - 1/6
Transform the expression

14 - 3/18
Calculate

= 11/18
_____________

5) 4 2/5 + 2 1/5 = 33/5

4 2/5 + 2 1/5
Convert the number

22/5 + 11/5
Calculate

22 + 11/5
Calculate

= 33/5
_____________

6) 5 3/8 + 2 7/8 = 33/4


5 3/8 + 2 7/8
Convert the number

43/8 + 23/8
Calculate

43 + 23/8
Calculate

= 66/8

Answer 2

Question 1 :-

`{:\implies \quad \sf (3)/(8)+(3)/(6)}`

After taking LCM ;

`{:\implies \quad \sf (9+12)/(24)}`

`{:\implies \quad \sf (21)/(24)}`

`{:\implies \quad \bf \underline{\underline{(7)/(8)}}}`

Question 2 :-

`{:\implies \quad \sf (5)/(9)+(1)/(3)}`

After taking LCM ;

`{:\implies \quad \sf (5+3)/(9)}`

`{:\implies \quad \bf \underline{\underline{(8)/(9)}}}`

Question 3 :-

`{:\implies \quad \sf (5)/(12)+(7)/(8)}`

After taking LCM ;

`{:\implies \quad \sf (10+21)/(24)}`

`{:\implies \quad \bf \underline{\underline{(31)/(24)}}}`

Question 4 :-

`{:\implies \quad \sf (7)/(9)-(1)/(6)}`

After taking LCM ;

`{:\implies \quad \sf (14-3)/(18)}`

`{:\implies \quad \bf \underline{\underline{(11)/(18)}}}`

Question 5 :-

`{:\implies \quad \sf 4(2)/(5)+2(1)/(5)}`

Simplifying it into improper fraction will leave with us ;

`{:\implies \quad \sf (22)/(5)+(11)/(5)}`

Now , we know that whenever we add or subtract two or much fractions and their denominator is same , then the resultant has the same denominator and we had to perform operations in just numerator .

Applying it here ;

`{:\implies \quad \bf \underline{\underline{(33)/(5)}}}`

Question 6 :-

`{:\implies \quad \sf 5(3)/(8)+2(7)/(8)}`

Simplifying it into improper fraction will leave with us ;

`{:\implies \quad \sf (43)/(8)+(23)/(8)}`

`{:\implies \quad \sf (43+23)/(8)}`

`{:\implies \quad \sf (66)/(8)}`

`{:\implies \quad \bf \underline{\underline{(33)/(4)}}}`

Note :- Whenever we have a mixed fraction of the form
`{\bf a(b)/(c)}` we convert it into an improper fraction of the form
`{\bf (ac+b)/(c)}`