How do you solve #v/4.9=5.4/6.1#?

Question

2766 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-26T15:24:59

#v = 26.46/6.1# or #v = 4.3377# rounded to the nearest ten thousandth.

First, multiply each side of the equation by #color(red)(4.9)# to isolate and solve for #v# while also keeping the equation balanced:

#color(red)(4.9) xx v/4.9 = color(red)(4.9) xx 5.4/6.1#

#cancel(color(red)(4.9)) xx v/color(red)(cancel(color(black)(4.9))) = color(red)(4.9) xx 5.4/6.1#

#v = color(red)(4.9) xx 5.4/6.1#

Next, we can multiply out the right side of the equation:

#v = (color(red)(4.9) xx 5.4)/6.1#

#v = 26.46/6.1#

Now, to complete the solution we can divide 6.1 into 26.46.

#v = 4.3377#