Question

1-9/16 6-3 7/11 7 2/9-2 5/9

Answer 1

$1 - \frac{9}{16} = \frac{16}{16} - \frac{9}{16} = \frac{7}{16}$

$6 - 3 \frac{7}{11} = 5 \frac{11}{11} - 3 \frac{7}{11} = 2 \frac{4}{11}$

$7 \frac{2}{9} - 2 \frac{5}{9} = 6 \frac{11}{9} - 2 \frac{5}{9} = 4 \frac{6}{9} = 4 \frac{2}{3}$

Answer 2

To solve the given expression, let's take it step by step:

1. 1-9/16: Convert 1 to an improper fraction to perform the subtraction. 1 = 16/16 16/16 - 9/16 = (16 - 9) / 16 = 7/16

2. 6-3: Simple subtraction. 6 - 3 = 3

3. 7/11: Already in the simplest form.

4. 7: No calculation needed.

5. 2/9-2: Convert 2 to a fraction with the same denominator as 9. 2 = 18/9 18/9 - 2/9 = (18 - 2) / 9 = 16/9

6. 5/9: Already in the simplest form.

Now, let's put all the simplified expressions together:

7/16 + 3 + 7/11 + 7 + 16/9 + 5/9

Next, let's find a common denominator for all the fractions, which is 16 * 11 * 9 = 1584.

1. Convert all the fractions to have a denominator of 1584:

   7/16 = (7 * 99) / (16 * 99) = 693/1584 7/11 = (7 * 144) / (11 * 144) = 1008/1584 16/9 = (16 * 176) / (9 * 176) = 2816/1584 5/9 = (5 * 176) / (9 * 176) = 880/1584

Now, the expression becomes:

693/1584 + 3 + 1008/1584 + 7 + 2816/1584 + 880/1584

Finally, add all the fractions together:

(693 + 1008 + 2816 + 880) / 1584 = 5397 / 1584

The result of the expression is 5397/1584, which can be further simplified if needed.