Question

GIVING OUT BRAINLIEST / 60 POINTS TO WHOEVER ANSWERS

Answer 1

Answer:

6 2/3 = x

Step-by-step explanation:

24 1/14 + 8 3/7  = (x ÷ 1 1/9) * 5 5/12

Add on the left by getting a common denominator

24 1/14 + 8 3/7*2/2  = (x ÷ 1 1/9) * 5 5/12

24 1/14 + 8 6/14  = (x ÷ 1 1/9) * 5 5/12

32 7/14  = (x ÷ 1 1/9) * 5 5/12

32 1/2 =  (x ÷ 1 1/9) * 5 5/12

Changing to improper fractions

(2*32+1)/2 = (x ÷ 10/9) * (12*5+12)/12

65/2 = (x ÷ 10/9) * (65)/12

Multiply each side by 12/65

65/2 * 12/65 = (x ÷ 10/9) * (65)/12*12/65

6 = (x ÷ 10/9)

Copy dot flip

6 = x * 9/10

Multiply by 10 /9

6 * 10/9 = x * 9/10 * 10/9

60/9 =x

20/3 =x

Changing back to a mixed number

3 goes into 20 6 times with 2 left over

6 2/3 = x

Answer 2

Answer:

$\frac{20}{3}$

Step-by-step explanation:

$(24+8)+(\frac{1}{14} +\frac{3}{7})=(x:\frac{10}{9}).\frac{65}{12}\\32+\frac{1}{2}=(x.\frac{9}{10}) .\frac{65}{12} \\32\frac{1}{2}=(\frac{9}{10}x).\frac{65}{12} \\\frac{65}{2}=\frac{9}{10}x.\frac{65}{12} \\\frac{65}{2}=\frac{3}{2} x.\frac{13}{4} \\\frac{65}{2} =\frac{39}{8} \\\frac{20}{3} =x\\x=\frac{20}{3}$

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