# Thread: Ratio to simplest forms

1. ## Ratio to simplest forms

Question #1

The ratio of 7 dimes to 3 quarters.

Question #2

The ratio of 5 3/5 to 2 1/10

Can someone please show me how you come up with the answer to both equation.

2. Originally Posted by Patience
Question #1

The ratio of 7 dimes to 3 quarters.
7 dimes = 70 cents
3 quarters = 75 cents

both 70 and 75 are divisible by 5, so:

70:75 = 14:15

14 and 15 have no common divisor so this last is in simplist form.

Question #2

The ratio of 5 3/5 to 2 1/10
turn into improper fractions with the same denominator, which in this
case turn both into 1/10's

5 3/5 = (50+6)/10 = 56/10

2 1/10 = (20+1)/10 = 21/10.

so:

(5 3/5) : (2 1/10)=(56/10) : (21/10)

this is:

56:21.

Now both 56 and 21 are divisible by 7 so divide both by 7:

56:21 = 8:3

and as 8 and 3 have no comon factor larger that 1 this is the lowest form
of this ratio.

RonL

3. Question #2

How do u come up with 50 + 6? with the fraction of 5 3/5

I am confused. Shouldn't it be 5x5+3= 28/5

I understand the 2 1/10= 2x10=1= 21/10

4. Originally Posted by Patience
Question #2

How do u come up with 50 + 6? with the fraction of 5 3/5

I am confused. Shouldn't it be 5x5+3= 28/5

I understand the 2 1/10= 2x10=1= 21/10
Captain changed the denominator to 10.
Hence the fraction became 5 6/10, hence (50+6)/10 = 56/10