#Need help with unit rate of a fractions

107 messages · Page 1 of 1 (latest)

real jungle
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In 8th grade and working on finding unit rate of a fraction. We are doing word problems. Ex. Mary eats 2 1/3 apples per for every 1/4 hour how many apples does Mary eat in 1 hour. Dosent really make sense to me and I need help with shortcuts or just somewhere to start.

hazy solarBOT
dull sandal
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The unit rate of a fraction is basically when the denominator is one. These are helpful for when you need to find how many (thing 1) per (thing 2). For example miles per hour. In your problem you need to find how many apples Mary eats per hour, but your fraction right now is (2 1/3)apples/(1/4)hours. To find how many apples Mary eats in one you need to multiply the numerator and denominator(apples and hours) by something so that the denominator (hours) becomes one. Does this clear anything up?

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(Sorry for the bad notation or explanations. This is my first attempt at helping)

tacit glacier
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Hai<3

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I think I have something for you

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I tried to make that as clear as possible, feel free to come to me for any other questions (though don't give me anything above hard trig or hard polynomials - I am Year 7)

real jungle
tacit glacier
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Aight

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Umm

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Gimmee a sec

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OK

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so

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Do you understand what I did in Step 1?

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Where I identified each number and what they did?

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That's the key part

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Hello?

real jungle
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Ya

tacit glacier
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Ya

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Take a moment to analyse Step one completely

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If you don't understand that, I'm here for the next hour

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I'm happy to spare time for you

real jungle
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Okay I understand step 1

tacit glacier
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Good

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So you get what each number means, what it represents?

real jungle
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Ya

tacit glacier
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Sweet

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Good Job!

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So

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Next

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In Step 2

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Do you get what happened

real jungle
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No not really

tacit glacier
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ehh

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Ok

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That's fine

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So

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Have it as this:

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In part one, I said that Each period lasts one quarter hour

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Right?

real jungle
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Ya

tacit glacier
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(Each period is just the amount of time before the process repeats)

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Yes

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Great

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NExt,

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Part 2

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You firstly understand that there are 4 periods

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right?

real jungle
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Ya

tacit glacier
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Yes

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Godd

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Accordingly, in Step 2

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You just take the process that happens

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and multiply that to 4

real jungle
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What’s the process that happens

tacit glacier
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the Process happening each time is her eating 2 and one third apples

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The process in any such question is the first part

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stating: "Mary eats 2 AND ONE THIRD APPLES"

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That's the process

real jungle
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Ya

tacit glacier
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It being what the person does, what the character does, whatever changes in the given dilemma

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Ya

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Sweet

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Consequently, you multiply 4 to 2 and one third

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Because that's the total amount of apples eaten

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Right?

real jungle
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So wouldn’t you do 2x4 and 1/3x4 and get 9 1/4

tacit glacier
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No

real jungle
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Why

tacit glacier
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when you deal with such an imporper fraction, you always have to put the numeral into the fraction

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Basically:

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The big number at the front multiplies the denominator

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then, add that to the numerator

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leave the denominator as is, that's all it becomes

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to become an improper fraction

real jungle
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I don’t understand

tacit glacier
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Do you need me to explain conversion of mixed numerals and imporper fractions

real jungle
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Yes please

tacit glacier
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O

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Ok

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gimmee like

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5 minutes

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Imma write it out

real jungle
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Ok thank you

tacit glacier
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There:

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@real jungle

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DMs are open, if you wanna message em more about it, I'm in Australia, so if you respond too late, then you can leave me a DM!

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Heewoo

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Still online

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You understand it?

real jungle
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Not really

tacit glacier
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Ehh

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Ok

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Think of it like this:

real jungle
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It’s okay I’m heading to school soon and I have maths first period so I’m gonna ask for help

tacit glacier
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Oh

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ok then

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That's good

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Great for seeking help

real jungle
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Thank you for helping me

tacit glacier
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I probably am less effective than a school teacher

tacit glacier
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BTW

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what continent you on?

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or what country