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

##### 3 Answers

#### Explanation:

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

#### 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#

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

#### 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

So you replace

To get the answer