# Question #1a0d7

##### 2 Answers

#### Explanation:

If we let the number be represented by n

Change the fractions to eqivalent fractions with a

#color(blue)"common denominator"#

#rArr1/3=1/3xx4/4=4/12" and " 1/4=1/4xx3/3=3/12#

#rArr4/12x-3/12x=3larrcolor(red)" difference"# Since the fractions have a common denominator we can subtract the numerators while leaving the denominator as it is.

#rArr(4x)/12-(3x)/12=x/12#

#rArrx/12=3# multiply both sides by 12

#cancel(12)^1xxx/cancel(12)^1=12xx3#

#rArrx=36#

#color(blue)"As a check"#

#1/3xx36-1/4xx36=12-9=3to" True"#

#rArr" The number is "36#

36

#### Explanation:

Let the number be x

One third of the number is

ie

The Lowest common Multiple, (LCM) of the denominators namely , is 12

Multiplying through out by 12, we get,

or

ie