Question

Shelly can Soren hired a contractor to refinish her kitchen. The contractor said the job would take 49 1/2 hours. To date, the contractor has worked the following hours: 4 1/4 9 1/8 4 1/4 3 1/2 10 5/8 how much longer should the job take to be completed

Answer 1

`17(3)/(4)` hours

17.75 hours

Explanation:

`4(1)/(4)+ 9(1)/(8)+ 4(1)/(4) + 3(1)/(2) + 10 (5)/(8)`

LCM of 2, 4, and 8

2 = 2 × 1

4 = 2 × 2

8 = 2 × 2 × 2

LCM = 2 × 2 × 2 × 1

LCM = 8

`4(2)/(8)+ 9(1)/(8)+ 4(2)/(8) + 3(4)/(8) + 10 (5)/(8)`

`(34)/(8)+ (73)/(8)+ (34)/(8) + (28)/(8) + (85)/(8)`

`(34+73+34+28+85)/(8)`

`(254)/(8)`

GCF of 254 and 8

254 = 2 × 127

8 = 2 × 2 × 2

GCF = 2

`(254/2)/(8/2)=(127)/(4)`

`49(1)/(2)- (127)/(4)`

LCM of 2 and 4

2 = 2 × 1

4 = 2 × 2

LCM = 2 × 2 × 1

LCM = 4

`49(2)/(4)- (127)/(4)`

`(198)/(4)- (127)/(4)`

`(198-127)/(4)`

`(71)/(4)=17(3)/(4)`