Kylee bought a pack of 12 cookies. one third of the cookies are peanut butter. How many of the cookies in the pack are peanut butter?

Fixya maths 4 indices

Indices n surds

Hai again your support helps me alot can you please differentiate for me between the following -6to the power 2 and -6 to the power 2,& 2 to the power -3 + 1/3 to the power-2
I need a clarity how to convert these exponents to fractions
Posted by Ncwana Noziphiwo on Apr 03, 2018

https://www.tes.com/teaching-resource/indices-negative-indices-6427219

-62 means a number multiplied by itself twice
So in this case it is -6 x -6 = 36 - since -x- = +
If this was -6-2 the negative power means it's a fractional indice so first make it look like a fraction
1/-62 now it looks like a fraction (inverse) and the power mow looks like a normal square
Coz its still a negative number -6 x -6 = 36
So the answer is now 1/36

So when it is a minus power, first turn it into a fraction, then calculate as normal
Note: every number has a sign, it is either + or minus.
By convention, we always assume it is a plus unless stated otherwise.
To make sure u remember this fact put a plus sign in front of every number if no sign is showing
You can start with buses the 27 bus is +27
Its like if u say u have a car, what u really mean is you have 1 car. But u drop the 1 coz everyone takes for granted u meant 1 car, 1 house, 1 friend etc
Every power we assume its + unless otherwise stated.
So when a minus is put in front of the power, its saying make it a fraction first!
Maths is a game and games have rules.
This rule is a minus in front of power (indice) change to fraction form first!
So if it is 2-3 - the power -3 is saying turn it into a fraction first so
1/23 = 1/ 2x2x2 = 1/8
If it had of been 23 notice how no signs shown because we take for granted they r all +
Let's show them
+2+3 since it's a plus 3 we don't need to change it to a fraction and since it is a plus 2
We have +2 x + 2 x +2 and a +x+ x+ = +
2x2x2 = 8
Its easier to just do 23 = multiply the 2 by itself 3 times
2x2x2 = 8
When doing fractions of any type I prefer showing them as being more obviously top/bottom
1
-
2

Format and for that free hand is easier as typing is hard...lol
Ie
Numerator Denominator
When using a number that's a fraction it is better tro enclose it in brackets
As every indice is of the form - numberpower
The number can just as easily be a fractional number like a 1/3
So (1/3)2 is a third multiplied by itself
1/3 x 1/3 = 1x1/3x3 = 1/9
If it was (1/3)-2 then first u must get rid of the minus power by turning it into a fraction
1/(1/3)2
1/1/3 x 1/3
1/1/9
And 1 divided by a ninth =
1 to be cont - tired..lol

I interpreted the question as:

(x-2)/(4-x) + 2/3 = (x-2)/12 or

(x-2) 2 (x-2)
------ + --- = -----
(4-x) 3 12

Now to find a common denominator.

I factor all the terms and see what is common, so it can be eliminated to leave the lowest common denominator.

(4 - x) - prime - cannot be factored

3 - prime - cannot be factored

12 - 4 x 3

What is common in the above? The 3, so we can eliminate one 3.

Common denominator - (4 -x) (3)(4)

So, we must multiply the numerator and denominator of the first term by 12 (3 x 4).

The next term's numerator and denominator must be multiplied by 4(4-x).

The term on the right of the equals sign must have the numerator and denominator multiplied by (4-x).

Good luck.

If you need more assistance, post again.

Paul

I think you want to reduce the fraction to the lowest terms.

Improper fraction 1 3/4 produces an improper fraction of 7/4 (1 times denominator plus numerator)

To reduce a fraction, we need to divide the numerator (number on top) and the denominator (number on the bottom) by the greatest common factor (GCF).

To get the GCF, find the factors of the numerators and denominators and find the greatest number that is in both lists.

The factors of 2 are 1, 2.

The factors of 10 are 1, 2, 5, 10.

The greatest (largest) number is both lists is 2, so we divide the numerator and denominator by 2 and get 1/5.

Good luck,

Paul

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Multiplying Fractions:

1. Make sure you're working with two fractions.
2. Multiply numerator x numerator, then multiply denominator x denominator.

Dividing Fractions:

1. Make sure you're working with two fractions
2. Flip the second fraction upside down.
3. Change the division sign into a multiplication sign.
4. Multiply top x top and bottom x bottom.

Converting Mixed Numbers into Improper Fractions:

1. Convert mixed numbers into improper fractions.
2. Take the whole (non-fraction) number and multiply it by the denominator.
3. Add that answer to the numerator.
4. Put that amount over the original denominator and you will have an improper fraction.

Method for Adding and Subtracting Fractions:

1. Find the lowest common denominator (bottom number). For both adding and subtracting fractions, you'll start with the same process.
2. Multiply fractions to match the lowest common denominator.
3. Add or subtract the two numerators (top number) but NOT the denominators.

One third.

it is like- x+12+x+x-7= 143
solving the above equation, we get, x=46
which implies, A consumed x+12= 46+12= 58
B= x=46
C= 46-7= 39

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Fractions can be more precise than decimals. For example: 1/3 can not be expressed exactly as a decimal. .33333333333333333333333333333333333333333... is only an approximation.
Some numbers cannot be expressed precisely as either a fraction or a decimal. pi is an example.

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