Question

Which fraction is equivalent to 3/7?
A.15/35
B.6/10
C.9/14
D.21/42

Answer 1

@Susanna @marihelenh

Answer 2

Start with A. Do you know the GCF?

Answer 3

times both sides by 5

Answer 4

I think its A.

Answer 5

You would be correct!

Answer 6

yes

Answer 7

No, divide both the numerator and denominator by 5 of choice A.

Answer 8

OK, thanks guys. I think I'm getting it now :D (its been a while since ive done math...its usually English related what I do ;p)

Answer 9

You need to reduce all the fractions and then you can compare them with the given fraction.

Answer 10

A. What is the largest number you can divide both 15 and 35 evenly by?

Answer 11

5?

Answer 12

yes

Answer 13

Correct.
Divide both 15 and 35 by 5 to find its reduced fraction.
What do you get?

Answer 14

3/7?

Answer 15

A. 15/35 = 3/7
Correct.

Answer 16

Now for practice and completeness, let's try B.
B. What is the largest number you can divide both 6 and 10 evenly by?

Answer 17

I think the highest number they have in common is 2, right?

Answer 18

Correct.
B. 6/10 = 3/5

Answer 19

We already know A is the answer, since 15/35 = 3/7.
B is 3/5 which is not 3/7.
If you want, we can continue with C and D so you get a little more practice reducing fractions.

Answer 20

C.9/14
What is the largest number that 9 and 14 are divisible by?

Answer 21

yea, let's, id like to get some more practice before I continue :) better safe than sorry.

Answer 22

C.9/14
What is the largest number that 9 and 14 are divisible by?

Answer 23

9 = 3 * 3
14 = 2 * 7
As you can see, 9 and 14 have no prime factors in common.
That means the largest number 9 and 14 can be divided by evenly is 1.
That means that 9/14 cannot be reduced since it is already a reduced fraction.

Answer 24

I thought 3...but 3 cant go into 14...so 1? but everything is divisible by 1, sooo.....^^lol

Answer 25

Right.
Now we can move onto D. 21/42

Answer 26

that would be 21, right?

Answer 27

Exactly.

Answer 28

Divide both 21 and 42 by 21. What do you get?

Answer 29

1/2

Answer 30

Correct.
Now we can review the entire problem.

Which fraction is equivalent to 3/7?
A. 15/35 = 3/7
B. 6/10 = 3/5
C. 9/14
D. 21/42 = 1/2
With all fractions reduced, we see the answer is A. 15/35.

Answer 31

Great job!

Answer 32

Thank you so much :D

Answer 33

yw