Question

1/13•(2 3/8-1 5/6)•2 2/5+9/10

Answer 1

1/13*(-21/48)*2,4+0,9=-21/260+0,9=-20,1/260=-201/2600

Answer 2

Let's break down the expression step by step:

1. First, we'll deal with the subtraction inside the parentheses: 2 3/8 - 1 5/6

To subtract mixed numbers, we'll find a common denominator, which is 24 in this case. Then, we'll subtract the whole numbers and fractions separately.

2 3/8 = 19/8 (when expressed as an improper fraction) 1 5/6 = 11/6 (when expressed as an improper fraction)

Now, we subtract these fractions: (19/8) - (11/6)

To find a common denominator of 8 and 6, we can use 24. Now, we'll convert both fractions to have a denominator of 24:

(19/8) * (3/3) = 57/24 (11/6) * (4/4) = 44/24

Now, we can subtract the fractions: (57/24) - (44/24) = 13/24

So, 2 3/8 - 1 5/6 = 13/24

2. Next, we'll multiply the result by 2 2/5: (1/13) * (13/24) * 2 2/5

To multiply by a mixed number, first convert it to an improper fraction. 2 2/5 can be expressed as 12/5 (when expressed as an improper fraction).

Now, multiply the fractions: (1/13) * (13/24) * (12/5)

Now, let's multiply the fractions: (1/13) * (13/24) = 1/24

Now, multiply this result by 12/5: (1/24) * (12/5)

To multiply fractions, you multiply the numerators together and the denominators together: (1 * 12) / (24 * 5) = 12/120

3. Finally, we add 9/10 to the result: (12/120) + (9/10)

To add these fractions, we need to find a common denominator, which is 120. We'll convert 9/10 to have a denominator of 120:

(9/10) * (12/12) = 108/120

Now, we can add the fractions: (12/120) + (108/120) = 120/120

Since the numerator and denominator are the same, the result is 1.

So, the final result is 1.