?/8 = 1/4

You are given three out of the four numbers, and the ? is your variable. You know both of the denominators – 8 and 4 – so you just need to find the pattern between them. You know the 4 and the 8, so your equation is 4 x ? = 8. 4 x 2 is 8, so you know that ? is 2. Multiply both the numerator and denominator of the known fraction by 2 and you get 2/8 = 1/4.

The main thing to remember is that the numbers on both sides of the equation need to equal out – you can’t multiply the denominator by 2 and the numerator by 3, for example.

You know all of the denominators, so in order to solve the problems, you just need to find out what the variable in the equation is. For example in number 2: 2 x ? = 12. Once you know what the ? is, you’ll know what you need to multiply the known numerator by in order to solve the problem.

Hope that helps! If you want to work on this over the summer, to learn the concepts, you might want to look at www.mathusee.com – it’s a math curriculum that’s taught by DVD, using manipulatives. I’m a math teacher’s kid and a homeschool mom, and I can honestly say it’s the best curriculum I’ve seen for learning the concepts behind math. If you struggle in math, take a look around the site and show your parents – they may be willing to get you the curriculum. It’s really easy to do – 10 to 15 minutes a day – and I think you’ll find math a lot easier afterward 🙂

Good luck!

Or if you could just multiply the bottom 2 numbers together and do the same with the top number, then simplify. So number 1 would be ?/32 = 8/32. If you multiply 8 by 4, then you get 32. Then you have to multiply the 4 in 1/4 by 8 to get 32. Then multiply the 1 in 1/4 since you have to do the same thing to the top number. Then simplify it. 8/32 = 4/16 = 2/8.

Sorry if it’s kinda confusing the way I worded it but hopefully you get the general idea.

For ?/8=1/4 you need to figure out how you got from 4 on the botton to 8 on the bottom. So 4 times 2 is 8, so you need to multiply the top by the same number. So you have 1 times 2, which equals 2. So your answer would be 2/8=1/4. You will know you answer is right by dividing it (you can use a calculator if you want). So to check 2/8= .25 and 1/4= .25 So you know that your answer is correct.

For #2 3/2=?/12 you need to figure out how you got from 2 to 12. So 2 times 6 equals 12 so you need to multiply the top number times 6 also. So 3 times 6 equals 18. Your answer is 3/2=18/12. To check: 3/2=1.5 and 18/12=1.5

You will use the same method for all of the problems. Hope this helps.

like this:

when you have, a / b = ? / c

wirte it like a * c = b * ?

and then solve for ?: ? = (a*c)/b

so, like, #1 would be:

?/8 = 1/4

then ?*4 = 8*1

and ?=(8*1)/4=2

🙂 hopefully this helps!