Question

Is 11/12 greater = or less then 2/3

Answer 1

11/12 is greater than 2/3

Step-by-step explanation

to solve this we have two options, rewriting them in terms of a common denominator, or the fastest way to compare fractions is to convert them into decimal numbers.

Step 1

a)rewriting in terms of a common factor

we can see that the denominator of the second fraction is 3, so we can multiply by (4/4) in order to ger 12 as denominator , so

`(2)/(3)\cdot(4)/(4)=(8)/(12)`

note that we are not changing or affecting the fraction ( we are just multipliyng by 1)

Step 2

now, we have both fraction with the same denominator, let's compare

When the denominators are the same, the fraction with the lesser numerator is the lesser fraction and the fraction with the greater numerator is the greater fraction

`(11)/(12)\text{ and }(8)/(12)`

therefore, the greater fraction is 11/12

in other words

11/12 is greater than 2/3

I hope this helps you