How do you evaluate 5/6-2/35623?

3 Answers
Mar 16, 2018

1/616

Explanation:

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

5/6 -(2xx2)/(3xx2)562×23×2

=5/6 -4/6=5646

=1/6=16

Mar 16, 2018

1/616

Explanation:

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

"this is achieved by multiplying numerator/denominator"this is achieved by multiplying numerator/denominator
"of "2/3" by 2, thus making the denominator 6"of 23 by 2, thus making the denominator 6

rArr5/6-((2xxcolor(red)(2))/(3xxcolor(red)(2)))56(2×23×2)

=5/6-4/6=5646

"now subtract the numerators leaving the denominator"now subtract the numerators leaving the denominator

=(5-4)/6=1/6=546=16

Mar 16, 2018

Make both numbers have a common denominator of 6, then just subtract to get 1/616

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 2/323 to n/6n6, where nn just stands for some number you want to find, multiply both top and bottom by 2

2/3=(2*2)/(3*2)=4/623=2232=46

So you replace 2/323 with 4/646 in that expression

5/6-2/3=5/6-4/6=(5-4)/6=1/65623=5646=546=16

To get the answer 1/616