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How to solve the following: 4a/15 = 3/5  

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rupalrox | Student, Undergraduate | eNotes Newbie

Posted February 26, 2010 at 6:58 PM via web

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How to solve the following:

4a/15 = 3/5

 

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6 Answers | Add Yours

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krishna-agrawala | College Teacher | Valedictorian

Posted February 26, 2010 at 7:40 PM (Answer #1)

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We need to solve the equation "4a/15 = 3/5"

This equation can be rewritten as:

a*(4/15) = 3/5

To make the left hand side of the equation equal to a we multiply bot side of equation by 15/4. Giving

a*(4/15)*(15/4) = (3/5)*(15/4)

We simplify this equation in following steps.

a*(4*15)/(15*4) = (3*15)/5*4)

a*(60/60) = 45/20

a = 9/4 = 2.25

 

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neela | High School Teacher | Valedictorian

Posted February 26, 2010 at 7:14 PM (Answer #2)

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To solve 4a/15 = 3/5.

Solution:

4a/15 =3/5. Multiply by 15 both sides :

15*4a/15= 3*15/5 Or

4a = 9. Divide by 4 both sides:

a = 9/4 = 2.25

 

 

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amitparmar | Student , Undergraduate | eNoter

Posted February 27, 2010 at 5:06 AM (Answer #3)

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given that,

4a/15=3/5

we may written as

4a=3*15/5

or,4a=3*3

or,4a=9

or,a=9/4

a=2.25

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yoobie | High School Teacher | eNotes Newbie

Posted March 18, 2010 at 3:30 PM (Answer #4)

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To solve this question, the most important part is to know that 'a' is what you have to find.

In this quetion, it is easy to see what 'a' is because 15 is a multiple of 5. If you mutiply 5 by 3, you will get 15! This is what the two denominators are. So, you have to do the same thing to the numeratorl you have to multiply 3. 3x3 is 9, and that is equal to 4a.

To put it neatly, it is:

4a/15=3/5

4a/15=9/15 (At this stage, you don't have to be concerned of the denominators because they are equal)

4a=9

a=9/4

a=2+1/4

This can be said because with the demonimators equal, the numerators have to be equal as well.

So, in doing these sorts of questions, you have to make the denominators of both sides equal, and then solve the variable.

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isbeatbox | Student , Grade 11 | eNotes Newbie

Posted March 31, 2010 at 1:05 AM (Answer #5)

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This is how I would do it

4a/15=3/5

5(4a)=15(3)

20a=45

a=2.25   or  a= 2 1/4

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Wiggin42 | Student , Grade 12 | eNoter

Posted March 23, 2014 at 4:26 PM (Answer #6)

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4a/15 = 3/5

4a = (3/5) x 15 = 9

a = 9/4

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