Answer:
Explanation:
To find an equivalent expression for 6/5x + 6 3/5, we need to simplify the mixed number 6 3/5 to an improper fraction.
6 3/5 = (5 * 6) + 3 / 5 = 33/5
Therefore, we have:
6/5x + 6 3/5 = 6/5x + 33/5
Now, we need to find a common denominator for the two fractions:
The least common multiple (LCM) of 5 and 5 is 5.
Multiplying the first fraction by 1 in the form of 5/5 and the second fraction by 1 in the form of 1/1, we have:
(6/5)x + (33/5) = (6/5)x + (33/5) x (5/5)
Simplifying, we get:
(6/5)x + (33/5) = (6/5)x + (165/25)
Reducing the fraction, we get:
(6/5)x + (33/5) = (6/5)x + (33/5) x (5/5) = (6/5)x + (33/5) = (6x + 33)/5
Therefore, the equivalent expression to 6/5x + 6 3/5 is (6x + 33)/5.