How do you do this mathematics problem D-3/5=5/8

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Mathematics

Guest

3 January, 06:29

How do you do this mathematics problem D-3/5=5/8

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Answers (1)

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Rosalind · Answer 1

D = 49/40

Step-by-step explanation:

Solve for D:

D - 3/5 = 5/8

Put each term in D - 3/5 over the common denominator 5: D - 3/5 = (5 D) / 5 - 3/5:

(5 D) / 5 - 3/5 = 5/8

(5 D) / 5 - 3/5 = (5 D - 3) / 5:

(5 D - 3) / 5 = 5/8

Multiply both sides of (5 D - 3) / 5 = 5/8 by 5:

(5 (5 D - 3)) / 5 = 5*5/8

5*5/8 = (5*5) / 8:

(5 (5 D - 3)) / 5 = (5*5) / 8

(5 (5 D - 3)) / 5 = 5/5 * (5 D - 3) = 5 D - 3:

5 D - 3 = (5*5) / 8

5*5 = 25:

5 D - 3 = 25/8

Add 3 to both sides:

5 D + (3 - 3) = 25/8 + 3

3 - 3 = 0:

5 D = 25/8 + 3

Put 25/8 + 3 over the common denominator 8. 25/8 + 3 = 25/8 + (8*3) / 8:

5 D = 25/8 + (8*3) / 8

8*3 = 24:

5 D = 25/8 + 24/8

25/8 + 24/8 = (25 + 24) / 8:

5 D = (25 + 24) / 8

25 + 24 = 49:

5 D = 49/8

Divide both sides by 5:

D = (49/5) / 8

8*5 = 40:

Answer: D = 49/40