Question

Let a=1/5 b=1/2 c=3, and let d= -1/4 Calculate 1 divided by a times 1/c + 1/ b times d

Answer 1

`(7)/(6)`

Explanation:

Given

a=1/5

b=1/2

c=3

d= -1/4

Required

`(1)/(a) * (1)/(c) + (1)/(b) * d`

Substitute the values of a, b, c and d in the expression above

`(1)/((1)/(5)) * (1)/(3) + (1)/((1)/(2)) * (-1)/(4)`

Simplify the above expression

`1/{(1)/(5) * (1)/(3) + 1/{(1)/(2)} * (-1)/(4)`

`1*{(5)/(1) * (1)/(3) + 1*{(2)/(1)} * (-1)/(4)`

`5 * (1)/(3) + 2 * (-1)/(4)`

`(5)/(3) + (-2)/(4)`

`(5)/(3) - (2)/(4)`

Take LCM

`(20 - 6)/(12)`

`(14)/(12)`

Divide the numerator and denominator by 2

`(7)/(6)`

Hence,
`(1)/(a) * (1)/(c) + (1)/(b) * d` =
`(7)/(6)`