Question

5/7m- 1/7=9/14 Can someone please tell me what "m" is?

Answer 1

m =
`(11)/(10)`

Explanation:

First you need to add
`(1)/(7)` to both sides to get m by itself.
`(1)/(7)` =
`(2)/(14)` (feel free to ask if you don't understand why this is the case).
`(2)/(14) + (9)/(14) = (11)/(14)`

So then you get
`(5)/(7) m = (11)/(14)`. Divide both sides by
`(5)/(7) = (10)/(14)`. Remember: To divide fractions, you multiply the first number by the reciprocal of the second number.
`(11)/(14)` ÷
`(10)/(14) = (11)/(14)` ×
`(14)/(10)`. The two 14s cancel out, and you are left with
`(11)/(10)`, or
`1(1)/(10)`.

I hope this helps!

Answer 2

Answer(s):

`m=1.1, m=11/10,m=1(1)/(10)`

Explanation:

Start with:

`(5)/(7) m-(1)/(7) =(9)/(14)`

Let's add
`(1)/(7)` to both sides of the equation.

`(5)/(7) m=(9)/(14)+(1)/(7)`

Add
`(9)/(14)+(1)/(7)` by multiplying
`(1)/(7)` by
`(2)/(2)` to get a common denominator.

`(9)/(14)+(2)/(14)`

Add:

`(11)/(14)`

Now back to our main equation:

`(5)/(7)m=(11)/(14)`

Let's rewrite to make finding the cross product easier.

`m` ×
`(5)/(7) =(11)/(14)`

Find the cross product:

`m` ×
`70=77`

Rewrite.

`70m=77`

Divide by the coefficient of
`m`, which is
`70`.

`m=1.1`