Solve 5x9<8 . Write the improper fraction in your answer as a mixed number

Answer 1

To solve the inequality 5x9 < 8, first divide both sides by 9 to isolate x.

(5x9)/9 < 8/9

5x < 8/9

To get x by itself, divide both sides by 5.

(5x)/5 < (8/9)/5

x < 8/45

Now we need to express 8/45 as a mixed number.

To do this, divide 8 by 45: 8 ÷ 45 = 0 remainder 8.

0 is the whole number part, and the remainder 8 is the numerator of the fractional part. The denominator remains 45.

Therefore, the improper fraction 8/45 can be written as the mixed number 0 8/45.