Question

13 11/18+56 22/45-2 9/16•1 1/2:15/16-2 4/51•17

Answer 1

2 9/16*1 1/2=41/16*3/2=123/32
123/32:15/16=123/32*16/15=123/30=4 3/30=4 1/10
2 4/51*17=106/51*17=106/3=35 1/3
13 11/18+56 22/45=13 55/90+56 44/90=69 99/90=70 9/90=70 1/10
70 1/10-4 1/10=66
66-35 1/3=65 3/3-35 1/3=30 2/3

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets (None in this case)
2. Exponents/Orders (None in this case)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break down the expression step-by-step:

1. 13 11/18 + 56 22/45 - 2 9/16 • 1 1/2 : 15/16 - 2 4/51 • 17

Now, convert all mixed fractions to improper fractions:

2. 239/18 + 1276/45 - 41/16 • 3/2 : 15/16 - 106/51 • 17

Next, perform the operations in the following order:

3. Addition and Subtraction (from left to right): (239/18) + (1276/45) - (41/16) • (3/2) : (15/16) - (106/51) • 17

4. Multiplication and Division (from left to right): (239/18) + (1276/45) - (41/16) • (3/2) : (15/16) - (1802/51)

5. Continue with addition and subtraction: (239/18) + (1276/45) - (41/16) • (3/2) : (15/16) - (1802/51) (239/18) + (1276/45) - (41/16) • (3/2) : (15/16) - (3548/51)

Now, let's calculate the value of each expression:

1. (239/18) ≈ 13.27777778
2. (1276/45) ≈ 28.35555556
3. (41/16) ≈ 2.5625
4. (3/2) = 1.5
5. (15/16) ≈ 0.9375
6. (1802/51) ≈ 35.33333333
7. (3548/51) ≈ 69.64705882

Finally, substitute the values back into the original expression:

13.27777778 + 28.35555556 - 2.5625 • 1.5 : 0.9375 - 69.64705882

Now, perform multiplication and division first:

13.27777778 + 28.35555556 - 2.5625 • 1.5 : 0.9375 - 69.64705882 13.27777778 + 28.35555556 - 3.84375 : 0.9375 - 69.64705882 13.27777778 + 28.35555556 - 4.10526315789474 - 69.64705882

Next, perform addition and subtraction from left to right:

13.27777778 + 28.35555556 - 4.10526315789474 - 69.64705882 41.63333334 - 4.10526315789474 - 69.64705882 37.52807017510526 - 69.64705882 -32.11898864489474

The final result is approximately -32.12.