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6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 ​ =2d− 2 13 ​

User Daroczig
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2 Answers

4 votes

Answer:

d = -1/4 = -0.250

Explanation:

User Ryanc
by
8.1k points
1 vote

Answer:

So your answer is d = -1/4 = -0.250

Explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6*d-11/2-(2*d-13/2)=0

13

Simplify ——

2

11 13

(6d - ——) - (2d - ——) = 0

2 2

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 2 as the denominator :

2d 2d • 2

2d = —— = ——————

1 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2d • 2 - (13) 4d - 13

————————————— = ———————

2 2

11 (4d - 13)

(6d - ——) - ————————— = 0

2 2

11

Simplify ——

2

4.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 2 as the denominator :

6d 6d • 2

6d = —— = ——————

1 2

4.2 Adding up the two equivalent fractions

6d • 2 - (11) 12d - 11

————————————— = ————————

2 2

5.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(12d-11) - ((4d-13)) 8d + 2

———————————————————— = ——————

2 2

6.1 Pull out like factors :

8d + 2 = 2 • (4d + 1)

4d + 1 = 0

4d + 1 = 0

7.1 Solve : 4d+1 = 0

Subtract 1 from both sides of the equation :

4d = -1

Divide both sides of the equation by 4:

d = -1/4 = -0.250

User Mike Caron
by
8.6k points

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