How do you make new fractions that are equivalent to 6/24?

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Answer 1 · 2016-12-05T10:22:00

See explanation for the methods

Note that the question only askes for method. It does not specify what the equivalent fraction should be.

#color(blue)("Reducing the numbers without changing value")#

Observe that 6 will divide exactly into both 6 and 24

#6/24-=(6-:6)/(24-:6) = 1/4#

The #-=# means equivalent to

#6-:24 =0.25"; "1-:4=0.25 larr" both the same value"#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#color(blue)("Increasing the numbers without changing value")#

#color(green)(6/24color(red)(xx1)" "-= " "6/24color(red)(xx3/3)" " =" " 18/72 )#

#6-:24 =0.25"; "18-:72=0.25 larr" both the same value"#