Question

0.3d-1/3 1/3=.84:7/15

Answer 1

d=147/6.3

Explanation:

d = 147 / 6.3

Answer 2

`d=(147)/(6.3)`

Explanation:

• The right side is a ratio
  `0.84:(7)/(15)`
• a ratio can be written as a fraction
  `(0.84)/((7)/(15) )` this means
  `0.84` divide by
  `(7)/(15)` which is the same as
  `0.84*(15)/(7)=(12.6)/(7)`
• On the left, change the mixed fraction
  `3(1)/(3)` to the improper fraction
  `(10)/(3)`
• Then divide
  `0.3d-1` by
  `(10)/(3)` which is same as
  `(0.3d-1)*(3)/(10) =(3(0.3d-1))/(10)`
• So the equation is now
  `(3(0.3d-1))/(10)=(12.6)/(7)`
• Now multiply both sides by 10 and 7:
• 
  `(10)*(7)*(3(0.3d-1))/(10)=(12.6)/(7)*(7)*(10)\\7*3(0.3d-1)=12.6*(10)\\21*(0.3d-1)=126\\6.3d-21=126\\6.3d-21+(21)=126+(21)\\6.3d=147\\d=(147)/(6.3)`