How do you simplify # 2/3 + 5/6 #?

1 Answer
Apr 29, 2017

Answer:

See the solution process below;

Explanation:

To add two fractions, both fractions must be over a common denominator.

For this problem the Least Common Denominator is #color(red)(6)#.

To make the fraction on the left have #6# as its denominator we must multiply it by the appropriate form of #1#:

#(2/2 xx 2/3) + 5/6 => (2 xx 2)/(2 xx 3) + 5/6 => 4/6 + 5/6#

Next we can add the numerators over the common denominator:

#4/6 + 5/6 => (4 + 5)/6 => 9/6#

Next, we can factor this fraction as:

#9/6 => (3 xx 3)/(3 xx 2) => (color(red)(cancel(color(black)(3))) xx 3)/(color(red)(cancel(color(black)(3))) xx 2) = 3/2#