Solve.
CONVERT MIXED FRACTION INTO FRACTION FIRST CONVERT 3 3/4 INTO FRACTION.
first you convert the 3 and 3/4 into an improper fraction which is 15/4
then get a common denominator between 4/5 and 15/4 which is 20
thennnnn you have 16/20 and 75/20
tthen you subtract 16/20x-75/20x and get -59/20x
then convert the mixed fraction on th right into an improper fraction so 2 1/2 is 5/2
then "divide" both sides by -59/20 which means you multiply 5/2 by the reciprocal so 5/2 times -59/20
thank you!
\[\frac{4}{5}x-3\frac{3}{4}x=2\frac{1}{2}\]\[\frac{4}{5}x-\frac{15}{4}x=\frac{5}{2}\]\[\frac{(4*4)-(5*15)}{(5*4)}x=\frac{5}{2}\]\[\frac{16-75}{20}x=\frac{5}{2}\]\[-\frac{59}{20}x=\frac{5}{2}\]\[x=\frac{5}{2}*\frac{-20}{59}\]\[x=\frac{5*-20}{2*59}\]\[x=-\frac{100}{118}=\frac{50}{59}\]
do -295/40=x :) and simplify
Forgot the negative at the end, the answer is -50/59.
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