hey there it's Kaeleigh welcome to finding equivalent fractions equivalent
fractions have the same value even if they look different these fractions here
have the same value because when you multiply the top and the bottom by the
same number it is the same as multiplying by one and the fraction
keeps its value the same idea occurs to these over here but instead of
multiplying we are dividing the top and the bottom by the same number so the
fractions have the same value let's do some on our own so this first one here
we're finding the equivalent fraction to three fifths or three over five we need
to know what that equals remember we either multiply or divide the top and
the bottom by the same number so looking at our possible answers here this one
here has a 10 in the numerator but there's nothing that we can multiply
this 3 by to get 10 so we know that that can't be an answer and this one has a 3
in the numerator but if we multiplied the numerator by 1 then we'd also have
to multiply our denominator by 1 and that would give us 3/5 not 3/8 so we
know that one can't be it then these ones both have nines in the numerator so
if we have 3/5 and I need to get a 9 up here that means I had to multiply my
numerator by 3 so if it's equivalent I have to also multiply my denominator by
3 5 times 3 gives me 15 so there's our answer right there let's do another one
together so this one says 5 over 15 or 5 15 so remember we can multiply or divide
our top and our bottom by the same number to see what we get all right so
let's say I'm going to divide my top and my bottom
by five so five five by five that would give me one and 5 goes into 15 three
times so I know I have one equivalent fraction that would be one-third but
none of these answers here look like one-third does it look like one of these
could be equivalent to one-third so let's say what if I multiplied my top
and my bottom both by two one times 2 would be 2 and 2 times 3 would be 6 but
none of those look like 2/6 either so what if I go back to my 1/3 and I
multiply my top and my bottom by 3 that would give me 3 on top and 9 on the
bottom which does look like that one there so see this one was a little
trickier we had to find essentially two equivalent fractions to have one of our
answers show up here nice work let's do one more so this one here we have two
fourths and can you think of right off top your head an equivalent fraction to
two fourths yeah one half so I got that by dividing
both of these by two now if I know an equivalent fraction to two fourths is
one half does it look like in any of these answers here that one of these is
also equal to one half yeah this one's a little easier 5/10 so 5/10 if we divide
both of these oops by five I'll get 1/2 nice work so go ahead and
practice what you've learned about finding equivalent fractions on your own
by doing the online games and quizzes have fun and remember to always be
clever