Ratio of 5 3/10 to 2 1/10 in Simplest form? Please help I am not understanding Ratios.?

Question

Maybe someone can explain how to find the ratio better than the book can.

Answer 1

I will use parentheis and arithmetic operators to break the problem down into a clear set of steps and solution:
The question I will answer is the reduction of
(5 + 3/10)/(2 + 1/10)

Also, if the ratio is inverted, just invert my answer.

First, put the numerator over a common denominator:
((5*10)/10)+(3/10)
=53/10

The the same with the denominator:
((2*10)/10) + 1/10
=21/10

so the ratio is
(53/10)/(21/10)

to simplify further, invert the denominator fraction and multiply by the numerator:

(53/10)*(10/21)
the 10 divides out to leave:
53/21

If you want to check the logic,
try a simple example, say (2/4)/(3/4)
this is .5/.75 = .66666... or 2/3

invert the denominator and multiply by the numerator:
(2/4)*(4/3) = 2/3

I hope that helps

j

Answer 2

a million) the least confusing way is to alter the two form to unsuitable fraction. Like this: 5 3/5 into 28/5 and a couple of a million/10 into 21/10. 2) Then make advantageous the two numbers have comparable denominator. Like this: 28/5 into fifty six/10 and 21/10. 3) discover the terrific common element (GCF) of those numbers. fifty six and 21 is 7. So divide them by way of that form. fifty six/10 into 8/10 and 21/10 into 3/10. 4) finally shrink the two numbers if possible. 8/10 to 4/5 and 3/10. --------------------------------------... So the respond is 4/5 to 3/10 desire this help!