How do you simplify #(-3/ 8)/(5/7 - 2)#?

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Answer 1 · 2015-11-30T12:54:18

#(-3/ 8)/(5/7 - 2)=color(green)(7/24#

Let's solve the denominator first

The denominator is #(5/7) - 2#

# = 5/7 - 14/7#

# = (5-14) / 7#

# = -9 / 7#

So the fraction will equal #(-3/8)/(-9/7)#

# = (-3/8) times (-7/9)#

Simplifying the above product, we get

#=color(green)(7/24#