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Item 8
What is the value of the expression?

9 3/4−2 1/5+ 1/2

Enter your answer as a mixed number in simplest form by filling in the boxes.

Respuesta :

Answer :D

8 [tex]\frac{1}{20}[/tex] (8 1/20)

Question explanation:

Rewrite the equation with parts separated:

7 + [tex]\frac{11}{20}[/tex] + [tex]\frac{1}{2}[/tex]

(7 + 11/20 + 1/2)

Solving the fraction parts

[tex]\frac{11}{20}[/tex] + [tex]\frac{1}{2}[/tex] = ?

(11/20 + 1/2 = ?)

Find the LCD of 11/20 and 1/2 and rewrite to solve with the equivalent fractions.

LCD = 20

[tex]\frac{11}{20}+\frac{10}{20}=\frac{21}{20}[/tex]

(11/20 + 10/20 = 21/20)

Simplifying the fraction part, 21/20

[tex]\frac{21}{20} =[/tex] 1 [tex]\frac{1}{20}[/tex]

(21/20 = 1 1/20)

Combining the whole and fraction parts

7 + 1 + [tex]\frac{1}{20}[/tex] = 8 [tex]\frac{1}{20}[/tex]

(7 + 1 + 1/20 = 8 1/20)

I hope this answer finds you well - Answered by Lilo

Esther

Answer:

[tex]8\frac{1}{20}[/tex]

Step-by-step explanation:

[tex]9\frac{3}{4} -2\frac{1}{5} +\frac{1}{2} \\\\\frac{4*9+3}{4} -\frac{2*5+1}{5} +\frac{1}{2}\\\\\frac{36+3}{4} -\frac{10+1}{5} +\frac{1}{2}\\\\\frac{39}{4} -\frac{11}{5} +\frac{1}{2}\\\\\frac{195}{20} -\frac{44}{20} +\frac{10}{20}\\\\\frac{151}{20} +\frac{10}{20}\\\\\frac{161}{20}\\\\8\frac{1}{20}[/tex]

Check your answer:

[tex]8\frac{1}{20} =\frac{161}{20}\\\\\frac{20*8+1}{20}=\frac{161}{20}\\\\\frac{160+1}{20}=\frac{161}{20}\\\\\frac{161}{20}=\frac{161}{20}[/tex]

This statement is correct

Hope this helps!

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