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evaluate:3/4 dividedby(1/3+1/2

2006-11-09 09:24:19 · 12 answers · asked by Anonymous in Science & Mathematics Mathematics

12 answers

3/4 dividedby (1/3+1/2)

Using PEMDAS or BODMAS, we do the problem in the bracket first
1/3+1/2

Find the LCM of the denominators which is 6

2 + 3
_____
6

= 5/6

3/4 dividedby 5/6

we need to convert the "dividedby" to "multiplication" and to do this we must invert the fraction on the right side of the division sign, so we have:

3/4 X 6/5
= 3/2 X 3/5
= 9/10

2006-11-09 09:40:50 · answer #1 · answered by Loral 2 · 0 0

1. First simplify the denominator: what is the least common denominator of 3 and 2? 6 since both are prime

2. Multiply top and bottom of each fraction by the same number so as not to change the value of the fraction:

1/3 x 2/2 = 2/6; 1/2 x 3/3 = 3/6

3. Add the two together: 2/6 + 3/6 = 5/6.

4. Use the reciprocal rule to convert to multiplication:

3/4 divided by 5/6 = 3/4 x 6/5:

3 x 6 = 18 and 4 x 5 = 20, so you get 18/20.

5. Reduce by factoring out the common factor of 2:

18/20 = 9/10.

You could have factored out the 2 in step 4 as well.

2006-11-09 09:34:32 · answer #2 · answered by Action 4 · 0 0

Do the parentheses first: 1/3 + 1/2 = 2/6 + 3/6 = 5/6.
Now do the division: Invert the divisor and multiply:
3/4 * 6/5 = 18/20 = 9/10.

2006-11-09 09:33:01 · answer #3 · answered by steiner1745 7 · 0 0

is the question complete because it looks like it has been ended in the middle??
and if it is lets start solving it

(3/4)/(1/3+1/2)
first we will solve the denominator part
1/3+1/2=(3+2)/6=5/6

so now we have,
(3/4)/(5/6)
when one fraction is divided by another u have to multiply the first fraction with the reciprocal of the second number(meaning the denominator becomes the numerator;the numeratorbecomes the denominator)
(3/4)*(6/5)
=(3*6)/(4*5)
=18/20
=9/10 //reducing to the lowest term
=0.9

hope that helps!!!

2006-11-09 09:33:26 · answer #4 · answered by Anonymous · 0 0

since 1/3 = 2/6 and 1/2 = 3/6 then 1/3 + 1/2 = 5/6

(3/4)/(5/6) is the same as (3/4)*(6/5) and equals 18/20

or 9/10 which is 0.9

hope that helps

2006-11-09 09:36:18 · answer #5 · answered by binary 2 · 1 0

the value is 0.9 or 9/10. Just follow these steps

3/4 divided by ( 1/3 + 1/2 )

(3/4) / {( 2+3) / 6 ) finding the lowest common factor of the denominator.

(3/4) / (5/6)

(3/4) * (6/5)

(3*6) / (4*5)

18 / 20

9 / 10

0.9

2006-11-09 09:32:36 · answer #6 · answered by Tazz 2 · 2 0

3/4 divided by 1/3 1/2 (find common denomenator)
3/4 divided by 2/6 + 3/6
3/4 divided by 5/6
3/4 * 6/5 = 18/20 or 9/10

2006-11-09 09:34:32 · answer #7 · answered by gankthese 1 · 0 0

The answer is 0.9 or 9/10.

Good Luck

2006-11-09 09:29:27 · answer #8 · answered by Gardenia 6 · 0 0

(3/4)/((1/3)+(1/2))
(3/4)/((2/6)+(3/6))
(3/4)/(5/6)
(3/4)(6/5)
18/20=9/10=.9

2006-11-09 11:42:34 · answer #9 · answered by yupchagee 7 · 0 0

you know.. there is this handy little invention they've come out with called a calculator thats really helpful in these kinds of situations

2006-11-09 09:30:20 · answer #10 · answered by horslover10 2 · 0 0

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