Question

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

Answer 1

Answer:

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