Question

Help me please I need better grades

Answer 1

Answers:
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Question 1: The answer is: "
`(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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Step-by-step explanation:
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Question 1:
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(-4/3) − (-3/2) =
`(-4)/( 3)` +
`(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" ;

→
`(-4)/(3)` =
`(?)/(6)` ;

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

→So;
`(-4)/(3)` =
`(-4*2)/(3*2)` ;
=
`(-8)/( 6)` ;
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→ Now; →
`(3)/(2)` =
`(?)/(6)` ;

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

→So;
`(3)/(2)` =
`(3*3)/( 2*3)` ;
=
`(9)/(6)` ;
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Now, we can rewrite the problem:
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→
`(-8)/( 6)` +
`(9)/( 6)` ;
=
`(-8+9)/(6)` ;
=
`(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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