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A family member has two and one fourth yds of ribbon, and you add three fifths yds to it. How much ribbon would you each get if you split the total amount in half?

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User Svante Svenson
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1 Answer

26 votes
26 votes

Final answer:

To find out how much ribbon each person would get after splitting the total amount in half, we add the quantities of 2 1/4 yds and 3/5 yds to get 57/20 yds, and then divide by 2 to conclude that each person would receive 1 17/40 yards of ribbon.

Step-by-step explanation:

Starting with the initial quantity of ribbon, which is two and one fourth yards (2 1/4 yds), we can convert this to an improper fraction: 2 1/4 yds = (2*4+1)/4 = 9/4 yds. Next, we add the other piece of ribbon which is three fifths yards (3/5 yds) to the initial quantity. The sum of the two lengths of ribbon is (9/4) + (3/5) yds. To find this sum, we need a common denominator, which would be 20. The addition then becomes (9*5)/(4*5) + (3*4)/(5*4) = 45/20 + 12/20 = 57/20 yds.

To find out how much ribbon each person would get if we split the total amount in half, we divide the total length by two: (57/20) ÷ 2 = 57/20 ÷ 2/1 = 57/20 × 1/2 = 57/40 yds. Simplifying, we get 1 17/40 yards per person.

Understanding this calculation is akin to visualizing portions of a pie or quarters in a dollar as per the reference information. By dividing the total quantity of ribbon equally, each person would receive one and seventeen fortieths yards of ribbon (1 17/40 yds).

User Uxcxdx
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