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 :-

${:\implies \quad \sf \dfrac{3}{8}+\dfrac{3}{6}}$

After taking LCM ;

${:\implies \quad \sf \dfrac{9+12}{24}}$

${:\implies \quad \sf \dfrac{21}{24}}$

${:\implies \quad \bf \underline{\underline{\dfrac{7}{8}}}}$

Question 2 :-

${:\implies \quad \sf \dfrac{5}{9}+\dfrac{1}{3}}$

After taking LCM ;

${:\implies \quad \sf \dfrac{5+3}{9}}$

${:\implies \quad \bf \underline{\underline{\dfrac{8}{9}}}}$

Question 3 :-

${:\implies \quad \sf \dfrac{5}{12}+\dfrac{7}{8}}$

After taking LCM ;

${:\implies \quad \sf \dfrac{10+21}{24}}$

${:\implies \quad \bf \underline{\underline{\dfrac{31}{24}}}}$

Question 4 :-

${:\implies \quad \sf \dfrac{7}{9}-\dfrac{1}{6}}$

After taking LCM ;

${:\implies \quad \sf \dfrac{14-3}{18}}$

${:\implies \quad \bf \underline{\underline{\dfrac{11}{18}}}}$

Question 5 :-

${:\implies \quad \sf 4\dfrac{2}{5}+2\dfrac{1}{5}}$

Simplifying it into improper fraction will leave with us ;

${:\implies \quad \sf \dfrac{22}{5}+\dfrac{11}{5}}$

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 ;

${:\implies \quad \bf \underline{\underline{\dfrac{33}{5}}}}$

Question 6 :-

${:\implies \quad \sf 5\dfrac{3}{8}+2\dfrac{7}{8}}$

Simplifying it into improper fraction will leave with us ;

${:\implies \quad \sf \dfrac{43}{8}+\dfrac{23}{8}}$

${:\implies \quad \sf \dfrac{43+23}{8}}$

${:\implies \quad \sf \dfrac{66}{8}}$

${:\implies \quad \bf \underline{\underline{\dfrac{33}{4}}}}$

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