Question

Solve for x: 1 over 2 times x equals 3 and 7 over 15

Answer 1

Do you mean\[\frac{ 1 }{ 2 }x = 3 \frac{ 7 }{ 15 }\]

Answer 2

Or is the x in the denominator?

Answer 3

No its not the denominator

Answer 4

Okay. So we want to start by isolating the x. But mixed fractions are gross, so first we want to make it an improper fraction to make our lives easier. I'm assuming you know how to turn a mixed fraction into an improper fraction?

Answer 5

Yes

Answer 6

Okay. So what would the mixed fraction be as an improper fraction?

Answer 7

And thanks for the medal, by the way.

Answer 8

52 over 1552 over 15

Answer 9

Wow. That came out jumbled! But yeah, 52/15.

Answer 10

Omg ehasorry this is a tablet

Answer 11

No worries. So now to isolate the x. In essence, multiplying by one-half is the same as dividing by 2. So if we want to isolate the x, what should we multiply the left side by?

Answer 12

The recripocal

Answer 13

Which is?

Answer 14

Oops typo...

Answer 15

That's fine. But what's the reciprocal of 1/2?

Answer 16

Two over one

Answer 17

Also known as...?

Answer 18

Brb I'm movie to a desktop

Answer 19

That's okay. Anyways, that's just 2. So we multiply both sides by 2. We get just x on the left hand side, and we get \[\frac{ 52 }{ 15 } \times 2\]
Which is the same as \[\frac{ 104 }{ 15 }\]Which, if you need it as a mixed fraction, is the same as \[6 \frac{ 14 }{ 15 }\]

Answer 20

Thank you

Answer 21

No problem!