how do I explain finding equivalent fractions when a number is missing
example: \[\frac{2}{3}=\frac{42}{x}\]solve for x (i.e., cross multiply) \[2x=126\]\[x=63\]so the equivalent fraction is\[\frac{42}{63}\]
at a fourth grade level
hmmm, well and whole number multiple of your fraction will give you an equivalent fraction. So, just multiply you numerator AND denominator by the same whole number to get a new, equivalent fraction.\[\frac{2}{3}*\frac{3}{3}=\frac{6}{9}\]so, an equivalent fraction to 2/3 is 6/9
any*
i dont know how to explaing this equivalent fraction because on number does not divide into the other... and help on explaining: 5/10=?/6...since the 6 is not easily divisable into 10
True. But it still IS divisible. The easiest way to solve for this is "cross multiplication". But if you guys dont use this technique then notice that if we multiply both the numerator and denominator of 5/10 by 6/10 we get the equivalent fraction:\[\frac{5}{10}*\frac{\frac{6}{10}}{\frac{6}{10}}=\frac{3}{6}\]
fractions are ratios, proportions ....
if you have a cake and cut it into 3rds; and an equal cake cut into 6ths; you can compare the 2 maybe
thank you to everyone for your help
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