How do you evaluate 5/6-2/3?

3 Answers
Mar 16, 2018

1/6

Explanation:

Both fractions must have the same denominators before you can add the numerators:.

5/6 -(2xx2)/(3xx2)

=5/6 -4/6

=1/6

Mar 16, 2018

1/6

Explanation:

"before subtracting the fractions we require them to have"
"a "color(blue)"common denominator"

"this is achieved by multiplying numerator/denominator"
"of "2/3" by 2, thus making the denominator 6"

rArr5/6-((2xxcolor(red)(2))/(3xxcolor(red)(2)))

=5/6-4/6

"now subtract the numerators leaving the denominator"

=(5-4)/6=1/6

Mar 16, 2018

Make both numbers have a common denominator of 6, then just subtract to get 1/6

Explanation:

To subtract the numerators (numbers at the top), find a common denominator (number at the bottom), which in this case I'll use 6, since 6 is a common multiple of both 6 and 3

So to convert 2/3 to n/6, where n just stands for some number you want to find, multiply both top and bottom by 2

2/3=(2*2)/(3*2)=4/6

So you replace 2/3 with 4/6 in that expression

5/6-2/3=5/6-4/6=(5-4)/6=1/6

To get the answer 1/6