Zoey is making bracelets for her friends. Each bracelet takes #5/6# foot of string. How much string will Zoey need to make 12 bracelets?

1 Answer
Johnson Z.
Apr 16, 2016

#10# feet of string

Explanation:

If each bracelet is #5/6# feet of a string, and Zoey wants to make #12# bracelets, then multiply #12# by #5/6# to determine the length of string Zoey needs.

#12color(white)(i)"bracelets"xx(5/6color(white)(i)"feet")/"bracelet"#

#=12color(white)(i)"bracelets"xx5/6"feet"-:"bracelet"#

#=12color(white)(i)"bracelets"xx(5color(white)(i)"feet")/6xx1/"bracelet"#

The unit, "bracelet(s)," cancels out.

#=12color(white)(i)color(red)cancelcolor(black)("bracelets")xx(5color(white)(i)"feet")/6xx1/color(red)cancelcolor(black)("bracelet")#

#=12xx(5color(white)(i)"feet")/6xx1#

Since #12# and #6# can be divided by a common factor of #6#, their values are reduced. This simplifies the problem, making it easier to multiply values.

#=12color(blue)(-:6)xx(5color(white)(i)"feet")/(6color(blue)(-:6))xx1#

#=2xx(5color(white)(i)"feet")/1#

#=color(green)(|bar(ul(color(white)(a/a)10color(white)(i)"feet"color(white)(a/a)|)))#

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