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

Asked on by msw99

hkj1385 | (Level 1) Assistant Educator

Posted on

5/6 part of 18 means divide 18 into 6 equal parts and take 5 of the equal parts with you.

Thus, 5/6 of 18 = (5/6)*18 = 5*(18/6) = 5*3 = 15

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

Posted on

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.

kjcdb8er | Teacher | (Level 1) Associate Educator

Posted on

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

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted on

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.

crystaltu001 | Student, Grade 10 | (Level 1) Valedictorian

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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.

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

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

= 15

foreverlearn | Middle School Teacher | (Level 1) eNoter

Posted on

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

amitparmar | Student, Undergraduate | (Level 3) eNoter

Posted on

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

neela | High School Teacher | (Level 3) Valedictorian

Posted on

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

krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted on

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