Question

how to solve:

1/2+1/4*1/4-1/16

A. 11/16
B.9/16
C. 4/16
D.8/16

Answer 1

I'll let @GoldPhenoix do it :D

Answer 2

\[\large \large \frac{ 1 }{ 2 }+ \frac{ 1 }{ 4 } * \frac{ 1 }{ 4 } - \frac{ 1 }{ 16 }\] You would want to do Order Of Operation. So what do you do first?

Answer 3

add

Answer 4

and subtract then multiply

Answer 5

Hmm. That's the last thing we do.
Do you remember PEMDAS?

Answer 6

no

Answer 7

what is that

Answer 8

PEMDAS is very important!
P= Parenthesis
E= Exponent
M = Multiplication/Division
D = Division/Multiplication
A = Addition/Subtraction
S = Subtraction/Addition.

Do we have parenthesis?

Answer 9

We do multiplication first, why? Well because we don't have parenthesis or exponent.
So what does (1/4) * (1/4) give us?

Answer 10

1/16

Answer 11

Good job. So now our equation looks like: \[\large \large \frac{ 1 }{ 2 } + \frac{ 1 }{ 16 } - \frac{ 1 }{ 16 }\] Now what do we do next?

Answer 12

add

Answer 13

?

Answer 14

What does (1/2) + (1/16) give us?

Answer 15

is it
1/18

Answer 16

Nope. You want to find a common demoniator. What is the least common multiple of 2 and 16?

Answer 17

4

Answer 18

Hmm. Let me help you out:
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32
16: 16, 32, 48

What number does 2 and 16 share in common?

Answer 19

2

Answer 20

oh

Answer 21

16

Answer 22

Good job.

Answer 23

What would the numerator be?

Answer 24

dont get it !

Answer 25

We want to add 1/2 and 1/16. Correct?
To add them, they both must have the same demoniator.
You said that the least common multiple of 2 and 16 is 16.
Therefore, 1/16 stay the same because 1/16 already has a demoniator of 16.
So if 1/2 has a demoniator of 16, then what is the numerator?

Answer 26

1

Answer 27

Hmm. Well. To get 2 to 16. What do we do?

Answer 28

multiply by 8

Answer 29

So we must do the same thing to the numerator.
So what is 1 * 8?

Answer 30

8