Question

Helpppppppppppppppp please y’all

Answer 1

$\sf{3. \ \ Given : \dfrac{2}{3} - \dfrac{5}{4} + \dfrac{7}{2}}$

Let us solve the first two fractions : The LCM of 3 and 4 is 12

$\sf{\implies \dfrac{4(2) - 5(3)}{12} + \dfrac{7}{2}}$

$\sf{\implies \dfrac{8 - 15}{12} + \dfrac{7}{2}}$

$\sf{\implies \dfrac{-7}{12} + \dfrac{7}{2}}$

LCM of 2 and 12 is 12

$\sf{\implies \dfrac{-7 + 7(6) }{12}}$

$\sf{\implies \dfrac{-7 + 42}{12}}$

$\sf{\implies \dfrac{35}{12}}$

$\sf{\implies 2 +\dfrac{11}{12}}$

$\sf{\implies 2 \dfrac{11}{12}}$

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$\sf{4. \ \ Given : \dfrac{(2 - 7)^2 + 5}{3}}$

$\sf{\implies \dfrac{(-5)^2 + 5}{3}}$

$\sf{\implies \dfrac{25 + 5}{3}}$

$\sf{\implies \dfrac{30}{3}}$

$\sf{\implies 10}$

Answer 2

Answer:

2/3-5/4+7/2

Step-by-step explanation:

1. collect like terms. that is the positive and negative terms
2. 2/3+7/2-5/4
3. lcm of 3 and 2 is 6 hence 2/3+7/2= 25/6
4. 25/6-5/4....lcm of 6 and 4 is 12 hence 25/6-5/4=35/12
5. the answer in its mixed fraction is 2 and 11/12