Question

Drag the tiles to the correct boxes to complete the pairs.

Match the subtraction expressions to their correct answers.

Answer 1

Part 1)
`-17(8)/(9)` ----->
`-6(4)/(9)-3(2)/(9)-8(2)/(9)`

Part 2)
`-15.11` ------>
`-12.48-(-2.99)-5.62`

Part 3)
`-19(8)/(9)` ----->
`-19(2)/(9)-4(1)/(9)-(-3(4)/(9))`

Part 4)
`-201.65` ----->
`-353.92-(-283.56)-131.29`

Part 5)
`74` ------>
`83(1)/(5)-108(2)/(5)-(-99(1)/(5))`

Explanation:

Part 1) we have

`-6(4)/(9)-3(2)/(9)-8(2)/(9)`

To calculate the subtraction convert the mixed numbers to an improper fractions

`6(4)/(9)=(6*9+4)/(9)=(58)/(9)`

`3(2)/(9)=(3*9+2)/(9)=(29)/(9)`

`8(2)/(9)=(8*9+2)/(9)=(74)/(9)`

substitute

`-(58)/(9)-(29)/(9)-(74)/(9)=-((58+29+74))/(9)=-(161)/(9)`

Convert to mixed number

`-(161)/(9)=-((153)/(9)+(8)/(9))=-17(8)/(9)`

Part 2) we have

`-12.48-(-2.99)-5.62`

To calculate the subtraction eliminate the parenthesis first

`-12.48-(-2.99)-5.62=-12.48+2.99-5.62=-15.11`

Part 3) we have

`-19(2)/(9)-4(1)/(9)-(-3(4)/(9))`

To calculate the subtraction convert the mixed numbers to an improper fractions

`19(2)/(9)=(19*9+2)/(9)=(173)/(9)`

`4(1)/(9)=(4*9+1)/(9)=(37)/(9)`

`3(4)/(9)=(3*9+4)/(9)=(31)/(9)`

substitute

`-(173)/(9)-(37)/(9)-(-(31)/(9))`

Eliminate the parenthesis

`-(173)/(9)-(37)/(9)+(31)/(9)=((-173-37+31))/(9)=-(179)/(9)`

Convert to mixed number

`-(179)/(9)=-((171)/(9)+(8)/(9))=-19(8)/(9)`

Part 4) we have

`-353.92-(-283.56)-131.29`

To calculate the subtraction eliminate the parenthesis first

`-353.92+283.56-131.29=-201.65`

Part 5) we have

`83(1)/(5)-108(2)/(5)-(-99(1)/(5))`

To calculate the subtraction convert the mixed numbers to an improper fractions

`83(1)/(5)=(83*5+1)/(5)=(416)/(5)`

`108(2)/(5)=(108*5+2)/(5)=(542)/(5)`

`99(1)/(5)=(99*5+1)/(5)=(496)/(5)`

substitute

`(416)/(5)-(542)/(5)-(-(496)/(5))`

Eliminate the parenthesis

`(416)/(5)-(542)/(5)+(496)/(5)=((416-542+496))/(5)=(370)/(5)=74`