Hey guys! So I’m really bad at math, and my parents put me in this math class but I’m lost and I always need my dad to guide me through every step but I want to try to do it w.out him this time, can anyone help? The homeworks due on Wednesday and theres 17 problems I need help with, but I probably just need you to somewhat teach me and I’ll be good. Tysm!

It’s mostly stuff like operating fractions with alpabet variables and age problems.

You should search for YouTube videos haha

They are very useful

I wish i could help you i suck at math.

17 problems are a lot, you should put them on this thread so a bunch of people can chip in to help

I can try. It’s really just the concepts that are hard.

Use photo math just scan the problem and it will solve it and show the steps if you need them

Ty! Is it free?

Yep

*I guess I’ll do the first one to get the ball rolling and hope others join in (I really should be studying haha), I’m pretty rusty when it comes to math, I was going to take calculus this term but moved it to next term lol. BTW I’m using random stuff I know, so this comes from my mind. Sources used: my brain and the calculator and probably past material from math class that I most likely paid attention to?*

**Method:**

OK, for the first one, I multiplied the numerators and the denominators so all the denominators would be equal (to 16 which is the highest number there), example of numerator: 7x2=14, example of denominator: 8x2=16, and so forth. Then I brought -1/16 from the left to the other side so I could focus on the numbers that have an x in them. Then I took x out of the left side equation (all have x in common) so all the other ones in the ( ) are being added together but multiplied by x. After we add up the fractions in the parenthesis ( ) next to x, we then take the number 33/16 which is being multiplied by x and put it on the other side, where it’s being divided. Remember, when something switches over, it’s the opposite (so if it was addition on left, it’s subtraction on right, if we multiply on left, then we divide on right, etc).

*using fractions:*

14/16+12/16+7/16-1/16=10/16

14/16+12/16+7/16=10/16+1/16

X(14/16+12/16+7/16)=11/16

X(33/16)=11/16

X=11/16 divide by 33/16

*I just changed 11/16 and 33/16 into decimals:*

0.6875/2.0625

0.333… = 1/3

If we sub 1/3 for x and calculate, on left side we get 0.625. right side, is also 0.625. 0.625 in fraction is 5/8 (which is pretty obvious b/c if both sides equal each other, it is 5/8=5/8)

OMG Tysm!!!

I’m happy to help with them- I’m a bit of a math nerd

So, for the second one:

**1 1/5y + 3/10y - 1/2y = 1/3y +2/5**

The first thing you’re going to want to do, is **combine all like terms.** This will make the problem look much simpler.

In this case- Like Terms are going to be numbers that have the same variable/lack of variable.

So, “1 1/5y” “3/10y” “-1/2y” are all like terms on the left side of the equal sign. We are going to want to combine these. You’ll notice that they’re all fractions, but they don’t have the same denominator… **We need to make all of their denominator’s the same.**

If you go through the bases “5” “10” and “2.” They have the same multiple of “10” (aka they can all be multiplied to =10)

Change all of the fractions with a “Y” in them to have a denominator of ten. You’re problem will now look like this…

**14/10y + 3/10y -5/10y = 1/3y +2/5**

The fractions on the left side now all have the same base! **That means that we can combine the terms…**

17/10y -5/10y = 1/3y + 2/5

**12/10y = 1/3y + 2/5**

Now our left side is completely simplified. Let’s take a look at the right… You might notice that we have another term with a “Y” in it. Let’s move it over to the left side of the equal sign. We will do this by subtracting it from both sides.

Our problem now looks like this:

**12/10y -1/3y = 2/5**

Now, I don’t want to solve the entire thing for you because that isn’t going to help… But I will give you some tips.

**Combine the like terms that have a “Y” on the left. Then change the fraction on the right so it has the same denominator as the left side. From there, solve for y.**

If you need anymore help with the problem please let me know!! I’m happy to help, I just don’t want to take away the learning experience either.

*Decided to take another, random one haha when I should be focusing*

x/4+1/2=x/3+1/6

*Alright, I see they have 12 in common as the lowest denominator so right off the bat, I divide numerator and denominator by same number. X is just 1x with the 1 dropped.*

*Numerator: 1x times 3 =3x, denominator 4x3=12, numerator=1x6=6, denominator=2x6=12. This is the left side. Right side. Numerator= 1x times 4=4x, denominator 3x4=12, numerator: 1x2=2, denominator: 6x2=12*

*What we get:*

3x/12+6/12=4x/12+2/12

*Put the equations with x to one side and the non x on the other side. Remember, from addition to subtraction and vice versa when you switch sides.*

3x/12-4x/12=2/12-6/12

Add or subtract them up (don’t need to worry about denominator since all same (12) so 3x-4x= -1x or just –x (we mentioned x is 1) and 2-6=-4.

-4/12 also equals -1/3 if we simply but we’ll leave it at -4/12 so both denominators are equal. We then get:

-1x/12=-4/12

The 12 is in the denominator. So we bring it to the right side and multiply. If it was in the numerator, we would divide by the number.

[For this part, think of -1x/12 times 12/1, the 12 cancel each other out, so when we bring 12 over to other side, it’s times 12/1 (making the denominator the same makes it 144/12 which is basically 12, multiplying both 4/12 and 144/12 would indeed give us 4]

-x=-4/12 x 12

-x=-4

Divide both by negative 1 to make x positive. Remember negative times negative = positive.

x =4

OK, let’s sub x4 into x. both sides need to equal each other.

4/4+1/2=4/3+1/6

0.5=0.5

1/2=1/2

*I hope this makes sense haha.*

Ok, so the third problem…

**-(2 2/4a - 7x + 5*1/6b) - 3x +3a**

I’m not 100% sure what the instructions for this problem was, but I’m going to assume that you need to simplify the equation.

Let’s start off with what’s in the Parentheses. You’ll notice that there is a “-” on the outside of the parentheses. **This means that you are going to “subtract” the value that is inside of the parentheses.** You can do this by “flipping” the “+” and “-” signs.

So…

It would become

**-2 2/5a + 7x - 5*1/6b - 3x + 3a**

Look at that, it’s a bit simpler. Now, let’s try to combine like terms.

Here’s our pairs of like terms

-2 2/5a and 3a

7x and -3x

and 5*1/6b

Let’s rewrite the problem so all like terms are next to each other…

**3a - 2 2/5a + 7x - 3x + 5*1/6b**

Now let’s try to combine these like terms. The “A” terms don’t have the same denominator. Let’s change their bases to equal “5”

Our new numbers are 15a - 12/5a. This equals AVALUE

Our “X” terms already have the same base. So 7x - 3x = XVALUE

Finally, our term 5 * 1/6b is equal BVALUE

Now. I know I didn’t give you the final values again- this is because I don’t want to take away the learning experience. Once you combine these like terms, rewrite the final problem so that it looks like this

**AVALUE + XVALUE + BVALUE**

This will be your fully simplified version of the equation

Ok, I just grabbed another one. I’m trying to grab things that look like they’ll demonstrate different skillsThis problem is

**x/4 + 1/2 = x/3 + 1/6**

We want to solve for “X.” **Once again, I’m going to have us start off by making all of the fractions have the same denominator…**

Let’s try 12. This number has 2, 3, 4 and 6 as factors.

I haven’t shown this yet- but this is how I get my new fractions

x/4(3/3) + 1/2(6/6) = x/3(4/4) + 1/6(2/2)

The number in the parenthesis is the number that will be multiplied by the current denominator to make it 12.

Our new equation is

**3x/12 + 6/12 = 4x/12 + 2/12**

Now, let’s get our like terms onto the same sides of the equation. Let’s move the X values to the RIGHT and the Non-variable values to the LEFT.

My equation now looks like this…

**6/12 - 2/12 = 4x/12 -3x/12**

Let’s simplify this…

**4/12 = x/12**

Now there’s a couple ways we can solve this from here…

- We can see that 4/12 = x/12. Based on this, we can assume that X is going to equal 4 so it looks identical to the fraction on the left…
- We can cross multiplication to solve the problem. If you aren’t familiar with it- this is an example I found online.

## Cross Multiplication

So for our problem… It would look like

4*12 = x*12

Divide both sides by 12 and you get 4=x

*Grabbed another one.*

*I recommend to watch a video on how to convert mixed fractions to improper fractions, that will aid you a lot.*

For 5x =1 2/3

Let’s focus on 1 2/3

*First, we multiply 3 with 1 and then add 2 (so to get from mixed to improper, you multiply the whole number (1) with the denominator (3) and then add the numerator (2) which gives you 5 in total. Keep the denominator as 3.*)

So: 3x1+2 /3

5/3

So:

5x=5/3

*To get x alone, get rid of the 5 by dividing by 5 so 5x/5 (which will equal to 1x/1 or just 1) and what u do to one side, happens to the other so:*

5x/5=5/3 divide by 5

*Looking at:*

x=5/3 divide by 5

We can find a common denominator (15)

x=5/3 *divide by* 5/1

X=25/15 *divide by* 75/15

25/15 */* 75/15 =0.33333… *(the / in middle is divide by)*

0.3333 is 1/3

If we were to sub it:

5x = 1 2/3

5(1/3) = 1.6666…7

1 2/3 is 5/3 (*remember from the top*). 5 divide by 3 is 1.6666…7

So 1.6666…7 = 1.6666…7

5/3 = 5/3

Both sides equal each other!

# Another one:

Equation: **3x – 1 1/2b – (a-2b)**

*1 1/2 = 3/2*

Looking at this, let’s work with it. Remember to get from mixed to improper, you multiply the whole number (1) with the denominator (2) and then add the numerator (1) which gives you 3 in total. Keep the denominator as 2. So 3/2)

3x-3/2b is what we have (first half of equation)

Looking at the other half:

-(a-2b)

Think about it, there’s an invisible -1 in front so multiply -1 with a and -2

**-a+2b** is what we get.

*What we have so far:*

3x-3/2 b –a+2b

*I hope all of this helps*

BTW if you see … it just goes on (the 6’s) or whatever number it is. If you use your calculator, you will see this in action. It’s harder to type and easier to show it on paper so I’ll probably do that for next time (or not b/c my handwriting in monstrous) Maybe I’ll use something else like Paint or Word (*maybe*) But anyways, I hope this helps you solve the other problems

# The last 2 problems:

# Problem 1:

**For:**

5 (2x -1) =8x +1

*We should look at left side, multiply 5 with 2x and 1 so we get 10x and 5 (added to each). So we’re doing factorization.*

10x-5=8x+1

10x-8x=1+5

2x=6

Divide both sides by 2 to get x alone

X=3

*Checking:*

5 (2(3)-1)=8(3)+1

5(6-1)=24+1

5(5)=25

25=25

#Problem 2:

**For:**

5x-3=2x-3

5x-2x=-3+3

3x=0

*Checking:*

5(0)-3=2(0)-3

0-3=0-3

-3=-3

*In both cases, we’ve solved for x.*

Going to do another one

*What we have:*

*1 2/3 ÷ x = 2 7/9*

**First let’s change the mixed fractions to improper ones:**

**1 2/3 = 5/3**

Looking at this, let’s work with it. Remember to get from mixed to improper, you multiply the whole number (1) with the denominator (3) and then add the numerator (2) which gives you 5 in total. Keep the denominator as 3. So * 5/3*)

**2 7/9 = 25/9**

Looking at this, let’s work with it. Remember to get from mixed to improper, you multiply the whole number (2) with the denominator (9) and then add the numerator (7) which gives you 25 in total. Keep the denominator as 9. So * 25/9*)

*We have:*

5/3 ÷ x = 25/9

*Picture showing this calculation in action using a method:*

*I tend to go out all extra*

3/5 or 0.6 is the answer for this

# Tackling another problem:

Let’s look at this:

**13 5/7 –x =8 3/14**

First let’s change the mixed fractions to improper ones:

**13 5/7 = 96/7**

Looking at this, let’s work with it. Remember to get from mixed to improper, you multiply the whole number (13) with the denominator (7) and then add the numerator (5) which gives you 96 in total. Keep the denominator as 7. So 96/7)

**8 3/14 =115/14**

Looking at this, let’s work with it. Remember to get from mixed to improper, you multiply the whole number (8) with the denominator (14) and then add the numerator (3) which gives you 115 in total. Keep the denominator as 14. So 115/14)

**96/7-x=115/14**

*Subtract 96/7 from both sides.*

-x = 115/14 – 96/7

Let’s make the denominator the same (we can make it 14). So 96 x 2 = 192 (numerator), denominator: 7 x 2 =14

-x = 115/14 – 192/14

-x=-5.5

Divide by negative one on both sides to make x positive.

X = 5.5

5.5 is 11/2 or 5 1/2

(5 1/2 = 11/2)

To get from mixed to improper, you multiply the whole number (5) with the denominator (2) and then add the numerator (1) which gives you 11 in total. Keep the denominator as 2. So 11/2) Very cool, right?

A check:

96/7-5.5=115/14

8.2142857143 = 8.2142857143

So 115/14 = 115/14

*Or:*

8 3/14 = 8 3/14