222k views
5 votes
What is the value of x in this equation...

5 1/10x - 6 4/5= 3 1/4

1 Answer

6 votes

Answer:

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.

User CedricB
by
5.7k points