How do you solve 6/z=3/5?

2 Answers
Apr 17, 2017

10

Explanation:

6/z=3/5
6/3=z/5
2=z/5
2×5=z
z=10

Apr 17, 2017

See the entire solution process below:

Explanation:

First, multiply each side of the equation by the common denominator of the two fractions which is color(red)(5)color(blue)(z). This will eliminate the fractions while keeping the equation balanced:

color(red)(5)color(blue)(z) xx 6/z = color(red)(5)color(blue)(z) xx 3/5

color(red)(5)cancel(color(blue)(z)) xx 6/color(blue)(cancel(color(black)(z))) = cancel(color(red)(5))color(blue)(z) xx 3/color(red)(cancel(color(black)(5)))

30 = 3z

Now, divide each side of the equation by color(red)(3) to solve for z while keeping the equation balanced:

30/color(red)(3) = (3z)/color(red)(3)

10 = (color(red)(cancel(color(red)(3)))z)/cancel(color(red)(3))

10 = z

z = 10

Another method to solve an equation of two fractions is to "flip" the fractions and then solve for z:

z/6 = 5/3

Now multiply each side of the equation by color(red)(6) to solve for z:

color(red)(6) xx z/6 = color(red)(6) xx 5/3

cancel(color(red)(6)) xx z/color(red)(cancel(color(black)(6))) = 30/3

z = 10