Question

How do you reduce these fractions to their simplest form?

6.7/100
179/20
0.5/1,000
41/10

Answer 1

can you help me?

Answer 2

What do they mean by simplest form?
Do they mean a simplified fraction?
Or do they mean something else? Like write it as a decimal?

Answer 3

yes, a simplified fraction.

Answer 4

Hmm so for a simplified fraction, we don't want to include a decimal value in the numerator or denominator.

So for the first one, we can deal with the decimal by multiplying the top and bottom by 10.

Remember what happens when you multiply a number by 10?
It shifts the decimal one place to the right.

6.7 x 10 = 67.

Answer 5

So for the first one we get \(\Large\bf\sf \dfrac{67}{1000}\)

Understand that step? :U
I multiplied the top and bottom by 10.

Answer 6

And since 67 is a prime number, we wouldn't be able to simplify that any further.

Answer 7

Ok, I understand what you did.

Answer 8

Is there a common factor that can go into the second problem?

Answer 9

Hmm no, 179 is also prime :(
Are you sure they don't want these written as decimals? +_+
This just seems weird.
We have several of these that we can't even change, because they're already in reduced fraction form.

Answer 10

my teacher said to "write fractions in their simplest form." Does that mean turning improper fractions into mixed numbers?

Answer 11

yes

Answer 12

OK! thank you, that helped so much!