Solve: (3/5)a = 12?

Question

Please show me step by step how to solve this problem. Thanks!

Answer 1

Solve the "a" variable in the equation.

(3/5)a = 12

First: eliminate the fraction - multiply the denominator with both sides.

(5)(3/5)a = (5)(12)

Sec: cross cancel "like" terms & combine the rest.

(3)a = (5)(12)

3a = 60

Third: divide both sides by 3 (when you move a term to the opposite side, always use the opposite sign).

3a/3 = 60/3

a = 60/3

a = 20

Answer 2

The easy way.
Cross multiply the denominators of each side of the equation:
3a = 12(5)
3a = 60
Then divide each side by 3 to cancel 3 on the left side:
3a/3 = 60/3
a = 20

Answer 3

you first need to clear the 5 from the denominator and you do that by multiplying both sides by five.

5 x (3a/5) = 3a and 12 x 5 = 60

once you've done that you need to isolate the variable and you do that by dividing both sides by 3.

3a / 3 = a and 60 / 3 = 20

You then end up with a = 20

Answer 4

Multiply both sides by the reciprocal of the decimal (5/3) so that 3/5 is canceled out.

12*(5/3) = (60/3) or 20.

Therefore, a = 20.

Answer 5

(3/5)a =12
3a/5 =12
5(3a/5) = 12 x5
3a = 60
a=60/3
a=20
.

Answer 6

divide both sides by 3/5
a = 12/(3/5)
12/(3/5) is the same as (12 * 5) / 3 = 20

Answer 7

3/5 a=12/1
3/5a(5/3)=12/1 *5/3

3 becomes 1 and 12 becomes 4

4*5=20

a=20

Answer 8

X both sides by 5
3a = 60
a = 20

Answer 9

(3/5)/a=12
a=12x5/3
a=60/3
a=20