SOLUTION: hello i just started ITT & i'm new to college level math my instructor kinda gave an explanation, but i'm still struggling to understand the questions, one in particular is 4/5

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Question 248710: hello
i just started ITT & i'm new to college level math my instructor kinda gave an explanation, but i'm still struggling to understand the questions, one in particular is
4/5 with a denominator of 20
i'm supposed to write it as an equivalent fraction, but there is not much to go on, please help me understand

Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that any fraction of the form a%2Fb can be rewritten as %28ka%29%2F%28kb%29 where 'k' is some number. In other words, we multiply both the numerator and denominator of a%2Fb by 'k' to get %28ka%29%2F%28kb%29.


In particular, the fraction 4%2F5 can be multiplied by some number to get some other fraction. Since we want the denominator to be equal to 20, this means that we multiply the denominator of 5 by 4 to get 5*4=20. We must do the same to the numerator. So what we've done is:

4%2F5=%284%2Ahighlight%284%29%29%2F%285%2Ahighlight%284%29%29=16%2F20


So 4%2F5=16%2F20 which means that 16%2F20 is an equivalent fraction to 4%2F5 but it has a denominator of 20.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
4/5=x/20
multiply both sides by 20
(20*4)/5=80/5=5*4*4/5=16
x=16
4/5=16/20