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Mathematics 61 Online
shinedivneonebytime:

A zookeeper is 6 and 1/4 feet tall A young giraffe in his care is 9 and 3/8 tallHow many times as tall as the zookeeper is the giraffe? ​

shinedivneonebytime:

can some one help

jimthompson5910:

Are you able to convert from mixed numbers to improper fractions?

shinedivneonebytime:

yes

jimthompson5910:

what does 6 & 1/4 convert to?

shinedivneonebytime:

25/4

jimthompson5910:

correct

jimthompson5910:

how about 9 & 3/8?

shinedivneonebytime:

and 9 and 3/8= 75/8

jimthompson5910:

also correct

jimthompson5910:

so what we need to do is solve for x in the equation (25/4)x = 75/8

shinedivneonebytime:

um im confused

jimthompson5910:

To start things off, I would multiply both sides by 8 to clear out the fractions (25/4)x = 75/8 8*(25/4)x = 8*75/8 2*25x = 75 50x = 75 What's the next step?

shinedivneonebytime:

what do u mean by this 25/4)x = 75/8

shinedivneonebytime:

im still confused can you break it down easier

jimthompson5910:

I'm multiplying the person's height by x to get the giraffe's height

jimthompson5910:

Just as a simpler example Let's say the person was 6 ft tall and the giraffe was 12 feet tall This would lead to the equation 6x = 12 which solves to x = 2 when we divide both sides by 6. x = 2 means the giraffe is 2 times taller compared to the human

shinedivneonebytime:

ohh💆

jimthompson5910:

Hopefully that makes more sense now?

shinedivneonebytime:

yup

jimthompson5910:

ok great

shinedivneonebytime:

whats next

jimthompson5910:

So we'll use the same idea for 50x = 75

jimthompson5910:

what must we divide both sides of 50x = 75 to isolate x?

shinedivneonebytime:

0.66

shinedivneonebytime:

i think

shinedivneonebytime:

im not quite sure

jimthompson5910:

50x means 50 times x we need to undo that multiplication of 50

jimthompson5910:

Going back to 6x = 12, I divided both sides by 6 To solve 50x = 75, we need to divide both sides by _____

shinedivneonebytime:

1.5

shinedivneonebytime:

helloooo UWU

jimthompson5910:

no, we'll divide both sides by 50

jimthompson5910:

|dw:1606867302746:dw|

jimthompson5910:

|dw:1606867318573:dw|

jimthompson5910:

|dw:1606867346612:dw|

shinedivneonebytime:

so we divide 75 and 50 and 50 and 50

jimthompson5910:

yes and the 50/50 cancels out as my drawing shows

jimthompson5910:

so you just need to determine what 75/50 is equal to

shinedivneonebytime:

do you mean the fraction 75/50

jimthompson5910:

yes you'll need to convert the fraction 75/50 into a mixed number

shinedivneonebytime:

1 25 50

shinedivneonebytime:

or to minimize it would be 1 1 2

jimthompson5910:

then what does 25/50 reduce to?

jimthompson5910:

yes you beat me to it

jimthompson5910:

75/50 = 1 & 1/2

shinedivneonebytime:

ok so is the answer 1 1/2

jimthompson5910:

yes 1 and a half

shinedivneonebytime:

says incorrect tho

shinedivneonebytime:

i have another problem just like this one

jimthompson5910:

try 3/2 if it doesn't like 1 & 1/2

jimthompson5910:

and you could also try 1.5 3/2 = 1 & 1/2 = 1.5 they are all different ways of saying the same thing

shinedivneonebytime:

incorrect still

jimthompson5910:

I'm not sure then. It's probably a typo. I would ask your teacher to look into it.

shinedivneonebytime:

ok i have another question just like this one sorry to bother you 🤗

jimthompson5910:

no worries, go ahead

shinedivneonebytime:

ok one sec

shinedivneonebytime:

A rectangular bathroom floor is covered with square tiles that are 1and 1/2 feet by 1 and 1/2 feet the length of the bathroom floor is 10 and 1/2 feet and the width is 6 1/2 feet .ow many tiles does it take to cover the width of the floor?

shinedivneonebytime:

there

shinedivneonebytime:

hello idk if your still there

shinedivneonebytime:

hello UWU

jimthompson5910:

yes I'm reading it over

shinedivneonebytime:

oh ok sorry

jimthompson5910:

1 & 1/2 converts to 3/2 6 & 1/2 converts to what improper fraction?

shinedivneonebytime:

13/2

jimthompson5910:

Actually it might be easier to use decimals here 1 & 1/2 = 1.5 6 & 1/2 = what decimal number

shinedivneonebytime:

6.5

jimthompson5910:

yes so if x is the number of tiles along the width, then 1.5x = 6.5 is the equation we need to solve

shinedivneonebytime:

can you draw it out im a visualizer

jimthompson5910:

sure I'll give a similar example

jimthompson5910:

Let's say each tile was 2 inches wide And let's say we have a very small room that is 12 inches (1 foot) wide This is what the drawing would look like |dw:1606868821932:dw| That drawing shows how the solution to 2x = 12 is x = 6 In other words, we need 6 tiles along the width of the room.

shinedivneonebytime:

ok

shinedivneonebytime:

whats next

jimthompson5910:

So we need to solve 1.5x = 6.5

jimthompson5910:

to do so, divide both sides by _____

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