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.

turn into improper fractions with the same denominator, which in thisQuestion #2

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

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