How do you simplify 3/4+(1/4-1/6)34+(1416)?

1 Answer
Nov 23, 2016

5/656

Explanation:

First we must find common denominators.

4 and 6 are not the same number, so we need to find the lowest common number that they both go into. 24 is the lowest number that they both fit into. So, we must multiply these fractions by 6/666 and 4/444 respectively, because 6/6 and 4/466and44 are both equal to 1 and doing this will make all of their denominators 24.

3/4*6/6+((1/4*6/6)-(1/6*4/4))3466+((1466)(1644))
18/24+(6/24-4/24)1824+(624424)

Next it is a matter of PEMDAS, or specific order of operations. PEMDAS states that we must first solve what is inside the parentheses before we can do the outsides.
(6/24-4/24)=2/24(624424)=224
18/24+(2/24)1824+(224)
And now we can do the addition outside the parentheses.
20/242024
All there is left to do is simplify. Both 20 and 24 are divisible by 4.
5/656