Question

1) (4 5/4+1 6/11)-6/11 2)(12 19/24+5 19/28)-3 19/243)10 5/14-(3 5/13+3 1/7)

Answer 1

1)(4 5/4+1 6/11)-6/11

1 6/11-6/11=1

4 5/4+1=5 5/4=6 1/4

2)(12 19/24+5 19/28)-3 19/24

12 19/24-3 19/24=9

9+5 19/28=14 19/28

3)10 5/14-(3 5/13+3 1/7)=10 5/14-3 5/13-3 1/7

10 5/14-3 1/7=10 5/14-3 2/14=7 3/14

7 3/14-3 5/13=7 39/182-3 70/182=33

31/182=32 151/182

Answer 2

Let's simplify the given expressions step by step:

1. (4 5/4 + 1 6/11) - 6/11

First, let's convert the mixed numbers into improper fractions: 4 5/4 = (4 * 4 + 5) / 4 = 21/4 1 6/11 = (1 * 11 + 6) / 11 = 17/11

Now, we can perform the addition: (21/4 + 17/11) - 6/11

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 4 * 11 = 44.

Converting the fractions to have the common denominator: (21/4) * (11/11) + (17/11) * (4/4) - 6/11

Now we can add the fractions: (231/44 + 68/44) - 6/11

Combining the numerators: (231 + 68)/44 - 6/11

Simplifying the numerators: 299/44 - 6/11

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 44 * 11 = 484.

Converting the fractions to have the common denominator: (299/44) * (11/11) - (6/11) * (44/44)

Now we can subtract the fractions: (329/484) - (264/484)

Subtracting the numerators: 65/484

So, the result of the expression is 65/484.

2. (12 19/24 + 5 19/28) - 3 19/24

First, let's convert the mixed numbers into improper fractions: 12 19/24 = (12 * 24 + 19) / 24 = 307/24 5 19/28 = (5 * 28 + 19) / 28 = 159/28 3 19/24 = (3 * 24 + 19) / 24 = 91/24

Now, we can perform the addition: (307/24 + 159/28) - 91/24

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 24 * 28 = 672.

Converting the fractions to have the common denominator: (307/24) * (28/28) + (159/28) * (24/24) - 91/24

Now we can add the fractions: (8576/672 + 3816/672) - 91/24

Combining the numerators: (8576 + 3816)/672 - 91/24

Simplifying the numerators: 12392/672 - 91/24

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 672 * 24 = 16128.

Converting the fractions to have the common denominator: (12392/672) * (24/24) - (91/24) * (672/672)

Now we can subtract the fractions: (297408/16128) - (61152/16128)

Subtracting the numerators: 236256/16128

Simplifying the fraction: 7367/504

So, the result of the expression is 7367/504.

3. 10 5/14 - (3 5/13 + 3