What is #\frac{7}{8} ( - 2\cdot \frac{2}{5} )#?

1 Answer
Pendragon
Oct 14, 2016

#-7/10#

Explanation:

Because of the Order of Operations, we always solve the part inside the parentheses first. #-2# is equal to #-2/1#, so we can multiply#-2/1 * 2/5# This leaves us with #7/8(-4/5)# Now all that needs to be done is multiplication.

Just multiply #7*-4# and #8*5#. This gives you #-28# and #40#.

Don't forget that you were multiplying fractions . These numbers must be returned to their fraction form, #-28/40#

Finally, fractions should always be put in simplest terms. #-28# and #40# can both be divided by #4#. Doing this gives you the desired answer of #-7/10#

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