What is the value of 7/8 ÷ 11/12
2 answers:
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Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
Complete question
<em>18. GOLF Luis and three friends went golfing. Two of the friends rented clubs for $6 each. The total cost of the rented </em>
<em>clubs and the green fees for each person was $76. What was the cost of the green fees for each person? Define a </em>
<em>variable, write an equation, and solve the problem.</em>
The variable defined is "y", the equation is 4y + 2(6) = 76 and the value of the unknown variable is 16
Let the cost of green fees per person be y
If Luis and three friends went golfing, this means that 4 people went golfing. The total cost of green fees for all of them will be $4y
If two of the friends rented clubs for $6 each, total amount spent will be $2(6)
The equation that models the statement will then be expressed as;
Solve for y
The variable defined is "y", the equation is 4y + 2(6) = 76 and the value of the unknown variable is 16.
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