Question

- 1/3 + w = 5 3/8 what is w? @iGreen

Answer 1

Well we have to add 1/3 to both sides.

What's \(\dfrac{1}{3} + 5\dfrac{3}{8}\)

Answer 2

not so sure @iGreen

Answer 3

@iGreen

Answer 4

PLEASE @iGreen

Answer 5

@iambatman

Answer 6

PLEASE SOMEBODY!!!!!!!!

Answer 7

First convert 5 3/8 into an improper fraction.

Multiply the denominator to the whole number, then add it to the numerator.

\(5 \dfrac{3}{8} \rightarrow \dfrac{8 \times 5 + 3}{8} \rightarrow \dfrac{43}{8}\)

So now we have:

\(\dfrac{1}{3} + \dfrac{43}{8}\)

Now we have to find a common denominator between 3 and 8..

Answer 8

Do you know what that will be?

Answer 9

24 @iGreen

Answer 10

Is that correct @iGreen

Answer 11

Yep, you got it.

Now we change both fractions to denominators of 24.

\(\dfrac{1}{3} \rightarrow \dfrac{1 \times 8}{3 \times 8} \rightarrow \dfrac{8}{24}\)

\(\dfrac{43}{8} \rightarrow \dfrac{43 \times 3}{8 \times 3} \rightarrow \dfrac{129}{24}\)

Now can you add \(\dfrac{8}{24} + \dfrac{129}{24}\)?

Answer 12

137/24

Answer 13

Yep, you got it.

Now we have to switch it back to a mixed number.

Answer 14

5

Answer 15

Yes, that would be the whole number part, but we still need the fraction.

Answer 16

5 17/24

Answer 17

Yep, you got it!

Our final answer will be \(5 \dfrac{17}{24}\).

Answer 18

THANK YOU SOOOO MUCH! I have like 2 more can u help me

Answer 19

Yeah, I might be able to..just tag me.

Answer 20

THNX! @iGreen

Answer 21

or this way..
-1/3 + w = 5 3/8
-1/3 + w = 43/8 --- multiply everything by 24
-8 + 24w = 129
24w = 129 + 8
24w = 137
w = 137/24
w = 5 17/24

Answer 22

if you multiply by the common denominator, it will get rid of the fractions

Answer 23

Ooo, that looks much easier..

Answer 24

either way you should arrive at the same answer

Answer 25

Thank you too @texaschic101