SOLUTION: I need help. Algebra is not my fav subject. My son has homework and I have no idea how to do equivalent factions. so can someone help me. Homework Write two fractions that

Question 151623: I need help. Algebra is not my fav subject. My son has homework and I have no idea how to do equivalent factions. so can someone help me.
Homework
Write two fractions that are equivalent to each fraction.
3/4
7/9
7/11
14/17
21/23
11/17
Maybe I'm just stupid but I can't figure it out to explain it to him.
Found 4 solutions by jim_thompson5910, Alan3354, solver91311, Earlsdon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'll do the first two to get you started

# 1

Start with the first fraction.

Multiply both the numerator and denominator by 2 (any number will do)

Multiply 3 and 2 to get 6. Multiply 4 and 2 to get 8.

So is equivalent to

Start with the second fraction.

Multiply both the numerator and denominator by 2 (any number will do)

Multiply 7 and 2 to get 14. Multiply 9 and 2 to get 18.

So is equivalent to
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Write two fractions that are equivalent to each fraction.
3/4
7/9
7/11
14/17
21/23
11/17
---------
I think equivalent means numerically equal. I don't know what else it could be.
All of these are reduced to their simplest form, so you can produce 2 equiv by multiplying NUM and DEN by 2 and by 3.
--------------
3/4 = 6/8 and 9/12
7/9 = 14/18 and 21/27
7/11 = 14/22 and 21/33
14/17 = 28/34 and 42/51
21/23 = 42/46 and 63/69
11/17 = 22/34 and 33/51 (and 1100/1700, any multiplier works)

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
Multiplying both the numerator and the denominator of any fraction by the same number always produces an equivalent fraction.
for example.
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Equivalent fractions: These are fractions that have exactly the same value but are different in appearance.
For example: and are equivalent fractions.
To show this, you can take the and write the numerator (top) and the denominator (bottom) in terms of their factors, thus:
Now if you cancel the 5 in the top with the 5 in the bottom, you are left with:

So... and are equivalent fractions.
Now back to your son's problem:
The first fraction is
To write an equivalent fraction, you simply can multiply the numerator and the denominator by the same number, say 2, for instance, thus:
=
So, and are equaivalent fractions.
To get the second equaivalent fraction, you can multiply the numerator and the denominator by 3:
=
So , , and are equivalent fractions.
You can follow this pattern for all the fractions on the list.
= and...
=
Do you see the idea?
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