anonymous
  • anonymous
Solve for x: 1 over 2 times x equals 3 and 7 over 15
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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OakTree
  • OakTree
Do you mean\[\frac{ 1 }{ 2 }x = 3 \frac{ 7 }{ 15 }\]
OakTree
  • OakTree
Or is the x in the denominator?
anonymous
  • anonymous
No its not the denominator

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OakTree
  • OakTree
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?
anonymous
  • anonymous
Yes
OakTree
  • OakTree
Okay. So what would the mixed fraction be as an improper fraction?
OakTree
  • OakTree
And thanks for the medal, by the way.
anonymous
  • anonymous
52 over 1552 over 15
OakTree
  • OakTree
Wow. That came out jumbled! But yeah, 52/15.
anonymous
  • anonymous
Omg ehasorry this is a tablet
OakTree
  • OakTree
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?
anonymous
  • anonymous
The recripocal
OakTree
  • OakTree
Which is?
anonymous
  • anonymous
Oops typo...
OakTree
  • OakTree
That's fine. But what's the reciprocal of 1/2?
anonymous
  • anonymous
Two over one
OakTree
  • OakTree
Also known as...?
anonymous
  • anonymous
Brb I'm movie to a desktop
OakTree
  • OakTree
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 \[6 \frac{ 14 }{ 15 }\]
anonymous
  • anonymous
Thank you
OakTree
  • OakTree
No problem!

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