Question

Please help! 20 points!!!

Answer 1

Answer:

SOLUTION STEPS

6  

8

5

​

+−6  

3

1

​

 

Multiply 6 and 8 to get 48.

8

48+5

​

−  

3

6×3+1

​

 

Add 48 and 5 to get 53.

8

53

​

−  

3

6×3+1

​

 

Multiply 6 and 3 to get 18.

8

53

​

−  

3

18+1

​

 

Add 18 and 1 to get 19.

8

53

​

−  

3

19

​

 

Least common multiple of 8 and 3 is 24. Convert  

8

53

​

 and  

3

19

​

 to fractions with denominator 24.

24

159

​

−  

24

152

​

 

Since  

24

159

​

 and  

24

152

​

 have the same denominator, subtract them by subtracting their numerators.

24

159−152

​

 

Subtract 152 from 159 to get 7.

24

7

​

Step-by-step explanation:

Answer 2

Answer:

$\frac{7}{24}$

Step-by-step explanation:

$6 \frac{5}{8} + \bigg( - 6 \frac{1}{3} \bigg ) \\ \\ = 6 \frac{5}{8} - 6 \frac{1}{3} \\ \\ = \frac{6 \times 8 + 5}{8} - \frac{6 \times 3 + 1}{3} \\ \\ = \frac{48 + 5}{8} - \frac{18 + 1}{3} \\ \\ = \frac{53}{8} - \frac{19}{3} \\ \\ = \frac{53 \times 3 - 19 \times 8}{8 \times 3} \\ \\ = \frac{159 - 152}{24} \\ \\ = \frac{7}{24}$