How do you simplify #(5/4)(-3/10)#?

1 Answer
Feb 17, 2017

In this expression, we have to multiply fractions. This is the general rule you would follow to do so:

#a/b times c/d = (a*c)/(b*d)#

So let's apply the given problem:

#(5/4) times (-3/10) = (5*-3)/(4*10)#

Simplify by multiplying across the numerator and denominator:

#-15/40#

Now simplify the numerator and denominator by dividing out common factors. Both numbers can be divisible by #5#, so let's take that out:

#-3/8#

This cannot be simplified further, thus it is the completely simplified answer.