Answer:
Step-by-step explanation:
For clarity please use parentheses around mixed numbers, for example, type in (5 1/10)x instead of 5 1/10x.
There are three differente denominators here: 10, 5 and 4. The LCD is 20.
Rewriting this problem, we get:
(5 2/20)x - 6 16/20 = 3 5/20
Next, combine the constants 6 16/20 and 3 5/20:
(5 2/10)x = 9 21/20, or (5 2/20)x = 10 1/20
Solving for x, we divide 10 1/20 by 5 2/20:
10.05
------------ = 1.97 approx
5.1
A different and faster approach would be to convert all of the fractions in the original equation to decimal fractions:
(5.1)x - 6.8 = 3.25. Combining the constants, we get:
5.1x = 10.05, which equals 1.97 approx, as before.
