Simplify 7/9h+10-4/9h-3.

Answer 1

To simplify the expression, we need to simplify each fraction separately and then combine them.

For the first fraction, 7/9h, there is no simplification we can do.

For the second fraction, 4/9h, we can simplify by factoring out a h from the denominator: 4/9h = (4/9)*1/h = 4/9h.

Now we can rewrite the expression with the simplified fractions:

7/9h + 10 - 4/9h - 3.

Combining like terms, the expression simplifies to:

(7/9h - 4/9h) + 10 - 3.

Simplifying the fractions in the parentheses further, we get:

(3/9h) + 10 - 3.

Now we can combine the fractions:

(3/9h) - (27/9h) + 10 - 3.

Simplifying the fractions further by finding a common denominator (9h), we get:

(3-27)/(9h) + 10 - 3.

Combining the numerators, we have:

(-24)/(9h) + 10 - 3.

Simplifying the fraction, we get:

-8/(3h) + 10 - 3.

Finally, combining like terms, the simplified expression is:

-8/(3h) + 7.