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How do you solve 4th grade math problem 5/6 of 18?

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msw99 | Student | eNotes Newbie

Posted February 26, 2010 at 1:53 PM via web

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How do you solve 4th grade math problem

5/6 of 18?

10 Answers | Add Yours

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pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted February 26, 2010 at 2:01 PM (Answer #1)

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All you have to do here is to multiply.  You are going to multiply 5/6 by 18.  To do that, the best way is to make 18 into a fraction -- that is, write it as 18/1.  From there, you know what to do.  When you multiply two fractions, you multiply top numbers by top numbers, bottom numbers by bottom numbers.

So here, you would multiply 5 by 18 and 6 by 1.  That would get you 90/6.  So 5/6 of 18 is 90/6.

If you like, you can divide that to simplify and you get 15.

Another way to do it is to divide 18 by 6 which gets you 3.  Then you know that 3 is 1/6 of 18.  From there, you multiply by 5 and get 15.

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kjcdb8er | Teacher | (Level 1) Associate Educator

Posted February 26, 2010 at 2:01 PM (Answer #2)

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You can answer this question by multiplying the two numbers together:

5/6 x 18 = 15

so 15 is 5/6 of 18

 

To see why this is so, consider the two ratios:

5/6 = N/18

so N = 18 x 5/6

 

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krishna-agrawala | College Teacher | Valedictorian

Posted February 26, 2010 at 3:22 PM (Answer #3)

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The expression "5/6 of 18" is same as saying "5/6 multiplied by 18.

The rule of multiplying a fraction with an integer can be represented as follow:

Let the fraction be represented by two integers A and B, as A/B. Let this fraction be multiplied by an integer C. Then:

A/B x C = (A x B)/C

using this rule we solve the giver problem as follows:

Solution:

5/6 x 18 = (5 x 18)/6 = 90/6

We can leave the fraction 90/6 as it is. However it is possible to find a simpler equivalent number by dividing the numerator by the denominator.

90 (numerator) divided by 6 (denominator) gives the value 15. Therefor:

90/6 = 15

Answer:

5/6 of 18 is equal to 6.

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neela | High School Teacher | Valedictorian

Posted February 26, 2010 at 3:23 PM (Answer #4)

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To get 5/6 of 18.

Do 6 equal parts of 18 :

18 stars: ******************

6 equal parts of 18 stars: ***  ***  ***  ***  ***  ***

Take 5 equal parts out of 6  equal parts: ***  ***  ***  ***  ***  So, it is 15 stars. Threfore (5/6) of 18 = 15 pictorially.

Similarly fornumbers you see below:

18/6 =3 Or 18 = 3+3+3+3+3+3. Each part is 3.

Take 5 of the 6 equal parts: 3+3+3+3+3 = 15.

Therefore (5/6) of 18 = 15

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Ashley Kannan | Middle School Teacher | (Level 3) Distinguished Educator

Posted February 26, 2010 at 10:00 PM (Answer #5)

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There are other ways to solve this problem.  One way would be to convert 5/6 into  decimal.  When dividing numerator by denominator, the decimal is .833 and then multiply this by 18, and you would get 15.  Another way would be to use manipulatives and show a fraction bar of sixths.  If you applied this to your whole of 18 and then portioned it off into sixths, five sixths pieces would cover 15 of the total 18.  In a more manipulative sense, give the fourth grader 18 Starburst candies, or any candy in smaller parts.  Then, ask them to divide this total into groups of sixths.  Finally, tell them that they can keep 5 of these sixths and they should be able to, after trial and error, determine that they get 15 total.

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amitparmar | Student, Undergraduate | eNoter

Posted February 27, 2010 at 5:19 AM (Answer #6)

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saying that,

5/6 of 18=?

to solve this problem,at first we know what means of OF.

OF means multiplication.

now, we may written as

5*18/6=5*3=15

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foreverlearn | Middle School Teacher | eNoter

Posted November 3, 2010 at 11:10 PM (Answer #7)

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First make 18 a fraction by placing it over 1: 18/1. Then multiply the numerators and divide by the denominator and there you have it! 18x 5 / 6= 90
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jess1999 | TA , Grade 9 | Valedictorian

Posted June 19, 2014 at 11:37 PM (Answer #8)

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5/6 of 18 is basically

5/6 X 18 now to solve this equation just multiply the numerators

By multiplying, your equation should look like

90/6  Now you can simplify this fraction since 6 is able to go into 90 evenly

By simplifying, your answer should be

 = 15

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nisarg | Student, Kindergarten | Valedictorian

Posted July 20, 2014 at 2:18 PM (Answer #9)

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5/6=x/18

6x=90

x=15

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crystaltu001 | Student, Grade 10 | Valedictorian

Posted August 15, 2014 at 8:46 PM (Answer #10)

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To solve this equation, you can split 18 into 6 different parts to get the worth of 1/6. When you do this, you get 3, which is 1/6 of 18. To find 5/6 of 18, all you have to do is multiply. To get 1/6 to become 5/6, all you have to do is multiply by 5. If you multiply 3 by 5, you will be able to find 5/6 of 18, which is 15. 

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