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Evaluate. 5(9)/(16)-2(1)/(2)+6(3)/(4) Write your answer as a mixed number in simplest form.

User Najette
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1 Answer

2 votes

Answer:

11 and (11/16)

Explanation:

5(9)/(16)-2(1)/(2)+6(3)/(4)

Lets assume that the problem is asking us to take 5 (9/16) [5 and 9/16], subtract 2 and (1/2) and then add 6 and (3/4).

Lets convert all the numbers into fractions with common denominators.

1) 5 (9/16) = (80/16) + (9/16) = (89/16)

2) -2 (1/2) = - [(4/2)+(1/2)] = -(5/2)

3) +6 (3)/(4) = [(24/4)+(3/4) = (27/4)

Add these together:

(89/16) - (5/2) + (27/4)

Convert the fractions so that they have a common denominator. It looks like a denominator of 16 will work:

(89/16) - (8/8)*(5/2) + (4/4)*(27/4)

(89/16) - (10/16) + (108/16) = (197/16)

16 will go into 197 11 times, with 11 left over.

(197/16) is the same as 11 and (11/16)

User Onkaar Singh
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