Question

1) (12-4 3/18)+8 1/182) 17 1/9+(5 4/9-1 6/9)3) 1 1/7+(5 4/7+6/7)-(2 4/7-1 6/7)​

Answer 1

1) 8 3/18 + 8 1/18 = 16 4/18
2)17 1/9 +3 7/9 = 20 8/9
3)1 1/7 + 6 3/7 - 5/7 = 6 4/7

Answer 2

Let's solve the given expressions step by step:

1. (12 - 4 3/18) + 8 1/182

To simplify this expression, we'll first convert all the mixed numbers to improper fractions:

12 - 4 3/18 can be written as 12 - (4 * 18 + 3) / 18 = 12 - (75/18) 8 1/182 can be written as 8 + 1/182 = 8 + (1/182)

Now, we can rewrite the expression as:

(12 - 75/18) + (8 + 1/182)

Next, we need to find a common denominator for the fractions:

The common denominator for 18 and 182 is 18 * 182 = 3276.

So, let's rewrite the expression with the common denominator:

[(12 * 182 - 75) / 18] + [(8 * 3276 + 1) / 3276]

Simplifying further:

[(2184 - 75) / 18] + [(26208 + 1) / 3276]

[2109 / 18] + [26209 / 3276]

To add these fractions, we need a common denominator, which is 18 * 3276 = 59088.

So, we rewrite the expression again:

[(2109 * 3276) / (18 * 3276)] + [(26209 * 18) / (3276 * 18)]

[6908384 / 59088] + [471762 / 59088]

To add the fractions, we add their numerators:

(6908384 + 471762) / 59088 = 7370146 / 59088

The simplified result is approximately 124.564.

2. 17 1/9 + (5 4/9 - 1 6/9)

Let's convert the mixed numbers to improper fractions:

17 1/9 can be written as (17 * 9 + 1) / 9 = 153/9 5 4/9 can be written as (5 * 9 + 4) / 9 = 49/9 1 6/9 can be written as (1 * 9 + 6) / 9 = 15/9

Now, we can rewrite the expression as:

(153/9) + (49/9 - 15/9)

To add and subtract the fractions, we need a common denominator, which is 9.

[(153 + 49 - 15) / 9]

[187 / 9]

The result is approximately 20.778.

3. 1 1/7 + (5 4/7 + 6/7) - (2 4/7 - 1 6/7)

Converting the mixed numbers to improper fractions:

1 1/7 can be written as (1 * 7 + 1) / 7 = 8/7 5 4/7 can be written as (5 * 7 + 4) / 7 = 39/7 2 4/7 can be written as (2 * 7 + 4) / 7 = 18/7 1 6/7 can be written as (1 * 7 + 6) / 7 = 13/7

Now, we can rewrite the expression as:

(8/7) + (39/7 + 6/7) - (18/7 - 13/7)

To add and subtract the fractions, we need a common denominator, which