Equivalent Fractions

[bsurrey]

I need help understanding the concept of equivalent fractions, for example:

20/7 = ?/56x

Now I have gotten this far:

20/7 * 8/8 = 20*8/7*8 = 160/56

I think this is supposed to be simplified even more, but I do not know how to achieve the simplified fraction.

 

[Ryan Rigdon]

your answer of 160/56 can be reduced a bit more

160/56 = divide 8 into both top and bottom and then you get

20/7

Hope this helps in some way.

also you could have done this as well rather than 20/7 * 8/8 = 20*8/7*8 = 160/56

20*56 = 7*X

1120 = 7x

x = 160 plug X back in and get

20/7 = 160/56

 

[Denis]

What you do to numerator MUST be same as what you do to denominator:
7*8 = 56; so 20*8=160; so 160/56

 

[lookagain]

I need help understanding the concept of equivalent fractions, for example:

\(\displaystyle >> 20/7 = ?/(56x) <<\)

Now I have gotten this far:

20/7 * 8/8 = 20*8/7*8 = 160/56

I think this is supposed to be simplified even more, but I do not know how to achieve the simplified fraction.

Use grouping symbols as in the above quote box for the order of operations when typing it horizontally.


\(\displaystyle \frac {20}{7}(\frac{8x}{8x}) = \frac{160x}{56x}\)

This is an equivalent fraction.