Question

solve equations
36.) 1/3x+1/2=2

37.)7x=x-18

38.) 8r-36=-r

46.) 3(w-6)=-7(w+4) Does anyone know how to do equations w/fractions too????

Answer 1

\(\large\dfrac{1}3x+\dfrac{1}2=2\)
What's the first you wanna do?

Answer 2

make the fraction bars whole numbers??

Answer 3

Exactly, and how do we do that?

Answer 4

idk??

Answer 5

multiply the denominators of the 2 fractions. Then multiply everything in the equation with that.

Answer 6

1/6x=2 ?????

Answer 7

what are the denominators of the 2 fractions?

Answer 8

3 and 2

Answer 9

Yes, when you multiply those, you'll get 6.
Now multiply the entire equation with 6

Answer 10

1/6x=2 is what we have now right???

Answer 11

No
What is \(\large\dfrac{1}3x*6\ ?\)

Answer 12

6/18?

Answer 13

No... when you simplify 6/18, you'll get 1/3

When you multiply 1/3 with 3 what do you get?

Answer 14

3 and 1/3

Answer 15

No, we're multiplying here, not adding

Answer 16

Imagine a cake, you cut it in 3 equal pieces. You take 1 piece, that's 1/3 piece. Multiply that with 3. You'll have 3/3 piece which is equal to 1 cake.

So \(\large\dfrac{1}3x*3=1x\)
but we're multiplying with 6, not 3. What will the answer be now?

Answer 17

3/6