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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

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akbusiness987

Answer:

[tex]17\frac{3}{4}[/tex] hours

17.75 hours

Step-by-step explanation:

[tex]4\frac{1}{4}+ 9\frac{1}{8}+ 4\frac{1}{4} + 3\frac{1}{2} + 10 \frac{5}{8}[/tex]

LCM of 2, 4, and 8

2 = 2 × 1

4 = 2 × 2

8 = 2 × 2 × 2

LCM = 2 × 2 × 2 × 1

LCM = 8

[tex]4\frac{2}{8}+ 9\frac{1}{8}+ 4\frac{2}{8} + 3\frac{4}{8} + 10 \frac{5}{8}[/tex]

[tex]\frac{34}{8}+ \frac{73}{8}+ \frac{34}{8} + \frac{28}{8} + \frac{85}{8}[/tex]

[tex]\frac{34+73+34+28+85}{8}[/tex]

[tex]\frac{254}{8}[/tex]

GCF of 254 and 8

254 = 2 × 127

8 = 2 × 2 × 2

GCF = 2

[tex]\frac{254/2}{8/2}=\frac{127}{4}[/tex]

[tex]49\frac{1}{2}- \frac{127}{4}[/tex]

LCM of 2 and 4

2 = 2 × 1

4 = 2 × 2

LCM = 2 × 2 × 1

LCM = 4

[tex]49\frac{2}{4}- \frac{127}{4}[/tex]

[tex]\frac{198}{4}- \frac{127}{4}[/tex]

[tex]\frac{198-127}{4}[/tex]

[tex]\frac{71}{4}=17\frac{3}{4}[/tex]

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