Question

Help me please I need better grades

Answer 1

Answers:  
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Question 1:  The answer is:  "   $\frac{1}{6}$    " .
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Question 2:  The answer is:  " -12.8 ".
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Question 3:  The answer is:  " 12.3 " .
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Explanation:
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Question 1:
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   (-4/3) − (-3/2)  = $\frac{-4}{ 3}$ + $\frac{3}{2}$ ;

→  The least common multiple (LCM) of the numbers "2" and "3" (which are the numbers in the denominators) is:  "6" ; so we can convert each fraction value to the equivalent fraction with a denominator of "6" ;

→ $\frac{-4}{3}$ = $\frac{?}{6}$ ;

→ What value is the "?" ?  ;  → Look at the denominators.
                                               → (3 * ? = 6);  → (6÷3 = 2). 

→So;  $\frac{-4}{3}$ = $\frac{-4*2}{3*2}$ ;
                                                = $\frac{-8}{ 6}$  ;
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 → Now;  → $\frac{3}{2}$ = $\frac{?}{6}$ ; 

→ What value is the "?" ?  ;  → Look at the denominators.
                                               → (2 * ? = 6);  → (6÷2 = 3).

→So;  $\frac{3}{2}$ = $\frac{3*3}{ 2*3}$ ;
                                                = $\frac{9}{6}$  ;
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Now, we can rewrite the problem:
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→ $\frac{-8}{ 6}$  + $\frac{9}{ 6}$  ;
               =  $\frac{-8+9}{6}$ ;
               =  $\frac{1}{6}$ .
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Question 2:
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" -3.9  − 8.9 " =  - (3.9 + 8.9) =  - 12.8  . 
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Question 3:
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  " 2.9 − (-9.4) " =  2.9  +  9.4 = 12.3 .  
 Note: Subtracting a negative number is "adding a positive number".
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