How do you solve #5/8+3/4x=1/16#?

1 Answer
Mar 26, 2016

Answer:

#x=-3/4#

Explanation:

Notice that all the denominators are factors of 16

#(5/8xx2/2)+(3/4xx4/4)x=1/6#

'~~~~~~~~~~~~~~~~ Explaining an idea ~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)("Note that "2/2" and "4/4" are equivalent to the value of 1")#

#color(brown)("So, in effect "5/8xx2/2" is equivalent to "5/8xx1" and ")#
#color(brown)(3/4xx4/4" is equivalent to "3/4xx1)#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#10/16+12/16x=1/16#

Multiply everything by 16

#10+12x=1#

Subtract 10 from both sides

#12x=1-10#

Divide both sides by 12

#x=-9/12 = -3/4#