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

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

Posted on

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

malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

4a/15 = 3/5

a like x is the unknown variable here, therefore we can solve this by isolating a,

4a/15 = 3/5

4a/15 * 15 = 3/5 * 15                   (multiply both sides by 15)

4a = 9

4a/4 = 9/4                                    (divide both sides by 4)

a = 9/4

nisarg | Student, Grade 11 | (Level 1) Valedictorian

Posted on

4a/15 = 3/5 so to get rid of the denominators multiply both sides by 15

4a=9        then divide both sides by 4

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

Posted on

4a/15 = 3/5

To solve this, first we should do cross multiplying ( multiply 4a with 5 and 15 with 3 )

By cross multiplying, your equation should look like

20a = 45 now divide both sides by 20

By dividing, your equation should be

a = 45/20 simplify

zumba96 | Student, Grade 11 | (Level 3) Valedictorian

Posted on

Cross multiply

4a/15=3/5

Once you cross multiply; 4a(5)=15(3)

20a=45

a=9/4

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

`4a/15 = 3/5`

cross multiply

`4axx5=20a`

`15xx3=45`

`20a=45`

divide by 20

`(20a)/20 = 45/20`

a= 45/20

this can be simplified into 9/4

isbeatbox | Student, Grade 11 | (Level 2) eNoter

Posted on

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

yoobie | High School Teacher | eNotes Newbie

Posted on

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.

amitparmar | Student, Undergraduate | (Level 3) eNoter

Posted on

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

neela | High School Teacher | (Level 3) Valedictorian

Posted on

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