cathrinerose23:
What quantity of pepper would you need to make a triple recipe? Greek salad INGREDIENTS: 7 1 2 cups lettuce 1 cup red onions 1 cup olives 1 1 4 cups cucumber 1 cup tomatoes 1 1 2 cups feta cheese 1 3 8 teaspoons salt 3 7 8 teaspoons pepper Write your answer as a fraction or as a whole or mixed number.
cathrinerose23:
oka so im guesing that i gotta add the numbers right?
Hero:
Do you know how to screenshot the question?
cathrinerose23:
nah not on this computer
Hero:
Having some trouble interpreting what you posted above.
umm:
I can try and see if I can put it together if you'd like, Hero.
Hero:
Good luck.
cathrinerose23:
go head and try
Hero:
You're able to copy and paste but not screenshot? Seems strange. What kind of computer is it? What operating system?
umm:
What quantity of pepper would you need to make a triple recipe? Greek salad INGREDIENTS: 7 1/2 cups lettuce 1 cup red onions 1 cup olives 1 1/4 cups cucumber 1 cup tomatoes 11/2 cups feta cheese 13/8 teaspoons salt 3 7/8 teaspoons pepper Write your answer as a fraction or as a whole or mixed number. I believe is given?
cathrinerose23:
yes thx u
cathrinerose23:
i couldnt get the whole thing on there
Hero:
Okay so what is your question regarding this problem @cathrinerose23
cathrinerose23:
@Hero i gotta find what quantity of pepper would you need to make a triple recipe? and Write your answer as a fraction or as a whole or mixed number.
Hero:
Is not the quantity already listed in the recipe @cathrinerose23 ?
cathrinerose23:
its gotta be enough for a triple recipe
cathrinerose23:
idk these questions on this website are dumb as ever
Hero:
Okay, so take whatever the quantity is and multiply it times 3
cathrinerose23:
oka
Hero:
In other words, the quantity is $$3 + 7/8$$ If you multiply that by three it is $$3(3 + 7/8)$$
cathrinerose23:
oka
Hero:
So you have to apply the distributive property here.
cathrinerose23:
oka so 3 plus 7/8 is 3.875 aint it
Hero:
It is, however, it is best to apply the distributive property first: \(a(b + c) = ab + ac\)
Hero:
Try to keep the whole numbers separate from the fractions for now.
cathrinerose23:
and then 3(3+7/8) is 11.625
cathrinerose23:
oka
Hero:
It's best to learn how to do it without a calculator. Otherwise you might run into a problem if you ever have to take a test that forbids calculators
cathrinerose23:
oh yea
cathrinerose23:
so now what do i do?
Hero:
The key here is that you have to write your answer as a whole number and a fraction. They don't want the answer in decimals.
Hero:
So in other words, you have to do it by hand.
cathrinerose23:
oka
Hero:
Apply the distributive property: \(3(3 + 7/8) = 3*3 + 3*(7/8)\)
Hero:
So @cathrinerose23 what is 3*3?
cathrinerose23:
9
Hero:
Very good and what is 3*(7/8)? Hint multiply the 3 and the 7 and leave the denominator the same.
cathrinerose23:
21/8
Hero:
Very good. so now we have \(3 + 21/8\)
Hero:
Now we need to convert the improper fraction to a proper fraction
cathrinerose23:
ok
Hero:
The easiest way to do that is to express the 21 as the HIGHEST multiple of 8 plus the remainder.
Hero:
Any ideas?
cathrinerose23:
well 3 = 21/8 is 5.625 and that converted into a fraction is 45/8
cathrinerose23:
from what i know of
Hero:
Well no, what we want to do is express the answer as a whole number + proper fraction.
Hero:
45/8 is still an improper fraction
cathrinerose23:
oka
Hero:
So, what are some multiples of 8. Can you name one?
cathrinerose23:
ummm... u got 8 duh, 16, 24, 32 u no what im gettin at right
Hero:
Right we're only looking for the highest multiple of 8 that doesn't exceed 21
Hero:
Do you know which number that is?
cathrinerose23:
8*3
cathrinerose23:
i mean 8*2 which is 16
Hero:
Exactly so we can express the result as 3 + (16 + 5)/8
cathrinerose23:
yea
Hero:
But we're still not done just yet
Hero:
In proper form this looks like \(3 + \dfrac{16 + 5}{8}\)
Hero:
Next we split the fraction to two fractions. Do you know how to do that?
cathrinerose23:
ok
cathrinerose23:
now what
cathrinerose23:
what we probably have to do is solve and convert and i got 23/8 and that converted is 2 7/8
Hero:
No, that's not it. Follow the steps I was showing you.
Hero:
What did you get after splitting the fraction to two fractions?
cathrinerose23:
splitting the two fractions?
cathrinerose23:
the one that had the 16+5?
Hero:
yes that one.
Hero:
How do you split \(\dfrac{16 + 5}{8}\) to two fractions?
Hero:
By the way the rule for splitting a fraction to two fractions is \(\dfrac{a + b}{c} = \dfrac{a}{c} + \dfrac{b}{c}\)
cathrinerose23:
wouldnt it be 16/8 and 5/8
Hero:
Yes correct so altogether what we have is \(3 + \dfrac{16}{8} + \dfrac{5}{8}\). From here, do you see anything that can be simplified?
cathrinerose23:
🤷♂️🤷♂️🤷♂️
Hero:
What is 16 divided by 8?
cathrinerose23:
2
Hero:
I'm hoping you did not use a calculator for that.
cathrinerose23:
no
cathrinerose23:
thats easy math
Hero:
Okay, so now we have \(3 + 2 + \dfrac{5}{8}\). Do you see a way to simplify that?
cathrinerose23:
i may be slow at math but im not dumb lol🤣🤣😁😁
cathrinerose23:
yes
Hero:
So what is the final result?
cathrinerose23:
whole number right
Hero:
A whole number PLUS a fraction.
cathrinerose23:
3+2 is 5
cathrinerose23:
would i add that to 5/8?
Hero:
Correct.
cathrinerose23:
oka but wouldnt that be a decimal?
Hero:
No, you don't write it as a decimal. You simply express it as a whole number plus a fraction
cathrinerose23:
so 6/25?
Hero:
Absolutely not.
cathrinerose23:
hmmm im dumb as ever
Hero:
You express it as \(a + \dfrac{b}{c}\).
cathrinerose23:
😒😒😒😢😢😫😫
cathrinerose23:
6 2/5
Hero:
\(a\) represents the whole number and \(\dfrac{b}{c}\) represents the fraction.
cathrinerose23:
or not those #s
Hero:
No, not that either go back to the numbers we were dealing with before you started talking about \(6\) and \(25\).
Hero:
There were two things we were adding together. What were they?
cathrinerose23:
5 and 5/8
cathrinerose23:
??
Hero:
Bingo
cathrinerose23:
ok
cathrinerose23:
thats what the answer was this whole freaking time??!!!
cathrinerose23:
OMFGGGGGGGG
Hero:
But I avoid doing it that way because you can get it confused with multiplication.
cathrinerose23:
im so damn slow at this subject im not passing the sats
Hero:
You're in HS?
Hero:
\(5 + \dfrac{5}{8}\) sorry is the answer
cathrinerose23:
oh so i was close right
Hero:
You had it the whole time. Just takes some getting used to. That's all it is. Mathematics is just something you already know. You just need to familiarize yourself with it more.
cathrinerose23:
ohhhh
cathrinerose23:
why cant i realize that??
Hero:
You're realizing it now
cathrinerose23:
i am
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