Question

StartFraction 2 Over n EndFraction = two-thirds

a.
n = 30
c.
n = 3
b.
n = three-fourths
d.
n = 1 and one-third

Answer 1

The value of n = 3

Hence, option c i.e. n = 3 is correct

Explanation:

Given the expression

Start Fraction 2 Over n End Fraction = two-thirds

it means,

`(2)/(n)=(2)/(3)`

Apply fraction cross multiply

if a/b = c/d, then a×d = b×c

`2\cdot \:3=n\cdot \:2`

`6=n\cdot \:2`

switch sides

`n\cdot \:2=6`

divide both sides by 2

`(n\cdot \:2)/(2)=(6)/(2)`

`n=3`

Therefore, the value of n = 3

Hence, option c i.e. n = 3 is correct