Question

How do you solve `10/14=30/m`?

Answer 1

`m=42`

Explanation:

We want to get rid of those fractions, so we will multiply the equation by denominators:
`10/14=30/m` ...`*14m`

We will get:
`(10*14m)/14=(30*14m)/m`

`(10*cancel14m)/cancel14=(30*14cancelm)/cancelm` `larr`cancel

`10m=30*14 larr`divide by 10

`m=3*14=42`

Answer 2

`"Answer : " m=42`

Explanation:

`"if "a/b=c/d" than "a*d=b*c`

`10/14=30/m`

`10*m=14*30`

`"let us divide both sides of equation by 10"`

`(cancel(10)*m)/(cancel(10))=(14*3cancel(0))/(1cancel(0))`

`m=14*3`

`m=42`

Answer 3

`m=42`

Explanation:

Given:

`10/14 = 30/m`

We can divide both sides of the equation by `10` to get:

`1/14 = 3/m`

Then take the reciprocal of both sides to get:

`14 = m/3`

Multiply both sides by `3` to get:

`42 = m`