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PSYCHO15rus [73]
2 years ago
5

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

Mathematics
2 answers:
DaniilM [7]2 years ago
7 0
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
Katena32 [7]2 years ago
7 0
<h3>Question 1 :- </h3>

{:\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}}}}

<h3>Question 2 :- </h3>

{:\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}}}}

<h3>Question 3 :- </h3>

{:\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}}}}

<h3>Question 4 :- </h3>

{:\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}}}}

<h3>Question 5 :- </h3>

{:\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 <em><u>denominator is same</u></em> , then the resultant has the <em><u>same denominator</u></em> and we had to perform operations in just numerator .

Applying it here ;

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

<h3>Question 6 :- </h3>

{:\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}}}}

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

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