Question

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.

Answer 1

Answer :D

8
`(1)/(20)` (8 1/20)

Question explanation:

Rewrite the equation with parts separated:

7 +
`(11)/(20)` +
`(1)/(2)`

(7 + 11/20 + 1/2)

Solving the fraction parts

`(11)/(20)` +
`(1)/(2)` = ?

(11/20 + 1/2 = ?)

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

LCD = 20

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

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

Simplifying the fraction part, 21/20

`(21)/(20) =` 1
`(1)/(20)`

(21/20 = 1 1/20)

Combining the whole and fraction parts

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

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

I hope this answer finds you well - Answered by Lilo

Answer 2

`8(1)/(20)`

Explanation:

`9(3)/(4) -2(1)/(5) +(1)/(2) \\\\(4*9+3)/(4) -(2*5+1)/(5) +(1)/(2)\\\\(36+3)/(4) -(10+1)/(5) +(1)/(2)\\\\(39)/(4) -(11)/(5) +(1)/(2)\\\\(195)/(20) -(44)/(20) +(10)/(20)\\\\(151)/(20) +(10)/(20)\\\\(161)/(20)\\\\8(1)/(20)`

Check your answer:

`8(1)/(20) =(161)/(20)\\\\(20*8+1)/(20)=(161)/(20)\\\\(160+1)/(20)=(161)/(20)\\\\(161)/(20)=(161)/(20)`

This statement is correct

Hope this helps!