Answer:
4.25 and 51
Step-by-step explanation:
IN GENERAL:
Equivalent ratio are equivalent fractions.
Equivalent fractions:
-if we simplify them they will be the same
for example, 1/2 is the same as 1*3/2*3 = 3/6
- if we divide the numbers on the fractions we get the same result.
for example, 1/2 = 0.5, and 3/6 = 0.5
IN OUR PROBLEM:
-sometimes the numbers are easy to see and you can do it this way
8/34 = 1/?, those are our equivalent fractions
how did we got from 8 to 1 ?...by dividing by 8
how do we get from 34 to ?...by dividing by 8
34/8 = 4.25
our equivalent fraction are 8/34 and 1/4.25
-sometimes just using algebra works better
[tex]\frac{8}{34} = \frac{12}{x}[/tex], set up the equivalent fractions and cross multiply
8x = 34*12, divide both sides of the equation by 8
[tex]x=\frac{34*12}{8}[/tex],solve
x= 51
our equivalent fractions are 8/34 are 12/51
