Question

(1/2)+(1/3)=(1/x)

Answer 1

or 1 over 2 plus 1 over 3 equals 1 over x

Answer 2

First step is to combine the 1/2 and 1/3.

Answer 3

how would u do that

Answer 4

You need to make sure they have the denominator.

Answer 5

wuld it be 6

Answer 6

right

Answer 7

so what next

Answer 8

Do you have one fraction on the left?

Answer 9

no im completely lost

Answer 10

ok, well we can combine fractions if they have the same denominator.

Answer 11

But that's not the case right now: we have 1/2+1/3

Answer 12

So we're going to get them both the same denominator: 6, as you said.

Answer 13

Like this: \[\frac{1}{2}=\frac{3}{6}\]

Answer 14

Now can you do \[\frac{1}{3}=?\]
in a similar way?

Answer 15

2 over 6

Answer 16

right so we get:
\[\frac{3}{6}+\frac{2}{6}=\frac{1}{x}\]

Answer 17

So what's the next step?

Answer 18

no clue

Answer 19

this is the problem if it helps 1. It takes Matt 2 hours to work out and it takes his friend Evan 3 hours to work out. How long would it take Matt and Evan to work out together? and then you have to turn it into a rational equation

Answer 20

I don't understand that question, but I can solve the equation for x.

Answer 21

ok

Answer 22

So if you're sure you have the right equation we'll solve it.

Answer 23

\[\frac{3}{6}+\frac{2}{6}=\frac{1}{x}\]

Answer 24

yes thats correct

Answer 25

Ok, you need to combine the two fractions on the left, just add them together.

Answer 26

5 over 6

Answer 27

right

\[\frac{5}{6}=\frac{1}{x}\]

Answer 28

so wat now

Answer 29

When you have one fraction equals another fraction you can flip it over, as long as there are no zeroes anywhere, like this:

\[\frac{a}{b}=\frac{c}{d} -> \frac{b}{a}=\frac{d}{c}\]

Answer 30

Can you apply that here?

Answer 31

6 over 5 = x over 1

Answer 32

right, and x over 1 is just x.

Answer 33

so x=6/5?

Answer 34

yes