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23/4 + 35/6 + 11/4

2007-01-21 22:02:13 · 9 answers · asked by Anonymous in Science & Mathematics Mathematics

9 answers

23/4 + 35/6 + 11/4

First, you can simplify by combining similar fractions (1/4's):

34/4 + 35/6

Then find common denominator, 12, and adjust numerators:

102/12 + 70/12

Add numerators:

172/12

Convert to propper fraction:

14 4/12

then:

14 1/3

2007-01-21 22:33:39 · answer #1 · answered by Olly T 1 · 0 0

23/4 + 35/6 + 11/4

First make the denominators (bottom numbers) the same.

69/12 + 70/12 + 33/12

Notice when the denominator (4) is multiplied by 3 to make 12 the numerator (top) is also multiplied by 3. Similarly, 6 x 2 =12 the numerator is also multiplied by 2.

When all the improper fractions are brought to the same denominator, the three numerators are added together.

172/12 - this will cancel down. by factor of 4

172/12 = 43/3

As an improper fraction this should be converted to a mixed number by dividing by three

3 ) 43 = 14 remainder 1

It is written as 14 1/3.

2007-01-22 09:07:41 · answer #2 · answered by lenpol7 7 · 0 0

First find the lowest common denominator. Thats 12. Rewrite the fractions with this denominator.

69/12 + 70/12 + 33/12

What I just did is for each fraction I...
1) asked myself what number needs to multiply times the bottom to = 12
2) I multiplied this number from (1) times the top of the fraction. Example: The first fraction is 23/4. I asked, what number do I multiply times 4 to get 12? The answer is 3, so then I multiplied the top, 23, times 3... and I get 69. Thus the first fraction is 69/12

Ok, once you get that far, then simply add the three numerators (thats the top of the fractions). Then the number you get is over 12.

We get 172/12. We can simplifiy this. To simplify, think of what number you can divide both 172 and 12 by. 2, right? So do that and you get 86/6. Again we can divide both 86 and 6 by 2. We now get 43/3. We cannot simplify any further.

2007-01-21 22:16:28 · answer #3 · answered by Steven 2 · 0 0

You can multiply the top and bottom of any fraction by the same number and it won't change the value. So 23 / 4 is the same as 69 / 12. Both the top and the bottom have been multiplied by 3.

You can do the same to the third term: 11/4 = 33 / 12.

Now, what would you have to multiply the middle term, 35/6, by to make it something over 12?

Do this.

Then when all the fractions are over 12, you can just add them up:

1/12 + 2/12 = 3/12.

2007-01-21 22:08:57 · answer #4 · answered by Gnomon 6 · 0 0

You need to find the lowest common denominator. As you have 4 & 6 as denominator - which in this instance is 12. therefore 2 3/4 = 38 over 12 3 5/6 = 46 over 12 1 1/4 = 15 over 12 Add 38 + 46 + 15 = 99 99 over 12 = 8.25 or 8 1/4

2007-01-21 22:10:16 · answer #5 · answered by Anonymous · 0 0

Find the lowest common denominator for 4 and 6.
This is 12.
69/12 + 70/12 + 33/12 = 172/12 = 43/3 = 14(1/3)

2007-01-22 01:02:15 · answer #6 · answered by Como 7 · 0 0

find a common deomenater which is 12 coz all things go into then multiply 23 by 3 coz 12 goes into 34 3 times u get69 over 12
multiply 35 by 2 coz goes into 12 twice u get70 and that's over12
then finally11 by 3 coz 12 goes into that 3 times which is33 over 12
then u add them altogether 69/12 +70/12+33/12 and get172 over 12
so your answer is 172/12 or 14.333333333

2007-01-21 22:16:44 · answer #7 · answered by jcathy 3 · 0 0

first, find the LCM of 4,6,&4. Which is 24!

The make the denominator 24 and adjust the numerator accordingly:

{ (23*6)+ (35*4) + (11*6) } / 24

= 344/24

2007-01-21 22:08:47 · answer #8 · answered by sh 1 · 0 0

Find out the lowest common denominator first which is 12, add together, then divide top and bottom.
I think !!!!
Having read below I still think the answer is 14 and 1/3
23/4= 69/12
35/6= 70/12
11/4= 33/12
69+70+33= 172
172 divided by 12= 14.3333
14.3333= 14 and 1/3
THIS IS THE ANSWER !!!!!!

2007-01-21 22:07:10 · answer #9 · answered by Steven W 3 · 0 0

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