I need help with an equation and I need to know how to get the answer to 1/2 + (2/3 / 3/4) - (4/5 x 5/6) =?

Question

1/2 + (2/3 / 3/4) - (4/5 x 5/6) = I need to know how to get the answer, the answer is 13/18

Answer 1

Your question:
1/2 + (2/3 / 3/4) - (4/5 x 5/6)

Start by inverting the 3/4 and multiplying:
1/2 + (2/3 x 4/3) - (4/5 x 5/6)

When multiplying fractions, you multiply numerators and multiply denominators:
1/2 + 8/9 - (4/5 x 5/6)

Now the last part, you can cancel a 5 from numerator and denominator to get 4/6... this reduces to 2/3:
1/2 + 8/9 - 2/3

Now find a common denominator of 18. Multiply the first fraction by 9 (top and bottom), the second by 2 (top and bottom) and the last by 6 (top and bottom):

9/18 + 16/18 - 12/18

Since the denominators are all the same, now you can combine the numerators:
(9 + 16 - 12) / 18

This simplifies to:
13 / 18

Answer 2

just use a calculator

or if that is not allowed:

work with each bracket separately at first:
2/3 / 3/4 = 2/3 * 4/3 = 8/9
4/5 * 5/6 = 20/30 = 2/3

so the sum is now:
1/2 + 8/9 - 2/3

you now need to find a common denominator, the easiest way of doing this is to multiply all the denominators together: 2 * 9 * 3 = 54

convert each fraction so it is over 54:
1/2 = 27/54
8/9 = 48/54
2/3 = 36/54

so the sum is now:
27/54 + 48/54 - 36/54

this is easy to do:
= 39/54

this simplifies to 13/18 [divide by 3]

Answer 3

OK

1/2 + (2/3 / 3/4) - (4/5 x 5/6) ; do one of the () first
=1/2 + (2/3*4/3) - 4/6 ; now the other
=1/2 + 8/9 - 2/3; LCD is 18
=9/18 + 16/18 - 12/18
=25/18 - 12/18
=13/18

Hope that helps!

Answer 4

1/2 + 2/3 / 3/4= 1/2 + 2/3 *4/3=8/9 +1/2 = 16/18+9/18=25/18

25/18- 4/5 * 5/6=20/30=2/3 25/18- 2/3= 25/18- 12/18=13/18

Answer 5

a. calculate the math inside each set of parenthesis:

( 2/3 / 3/4) = 2/3 * 4/3 = 8/9

(4/5 * 5/6) = 20/30

b. rewrite with the new fractions:

1/2 + 8/9 - 20/30

c. reduce each fraction, if possible (only one reduces):

1/2 + 8/9 - 2/3

d. find the least common denominator (LCD) and convert the fractions:
{ what is the smallest number that 2, 9, and 3 all evenly divide into? 18! }

9/18 + 16/18 - 12/18

e. just add the tops, and put it over 18:

13/18

Answer 6

ans. 3 * fifty 4 = 162 good judgment : first examine the unit place, in elementary terms 3 and four are the numbers which provides a no. at unit place it is two and recent interior the checklist........ different mixture fails after that placed , 5 , a million, 6 by means of cheking in elementary terms...