Question

70:(5/8+5/6)+(3 1/9-1/3)*(3/10)2=???

Answer 1

70:(5/8+5/6)+(3 1/9-1/3)*3/10*2 = 70:(15/24+20/24)+(3 1/9-3/9)*6/10 = 70:35/24+ 2 7/9*6/10 = 70*24/35+25/9*6/10 = 48+5/3 = 48 + 1 2/3 = 49 2/3.

Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break down the expression step by step:

1. Solve the fractions within the parentheses: 5/8 + 5/6 = 15/24 + 20/24 = (15 + 20)/24 = 35/24

2. Next, simplify the mixed number within the parentheses: 3 1/9 = 28/9

3. Perform the multiplication within the parentheses: 1/3 * 3/10 = (1 * 3)/(3 * 10) = 3/30 = 1/10

4. Now, the expression becomes: 70:(35/24 + 28/9 * 1/10^2)

5. Calculate the square of 1/10^2: 1/10^2 = 1/100

6. Next, multiply 28/9 by 1/100: (28/9) * (1/100) = (28 * 1) / (9 * 100) = 28/900 = 7/225

7. Add 35/24 and 7/225: To add these fractions, you need a common denominator. The common denominator is 900. (35/24) + (7/225) = (7875/900) + (28/900) = (7875 + 28)/900 = 7903/900

8. Now, divide 70 by the result of the parentheses: 70 / (7903/900)

To divide by a fraction, you can multiply by its reciprocal: 70 / (7903/900) = 70 * (900/7903)

Now, calculate this final division:

70 * (900/7903) = (70 * 900)/7903 = 63000/7903

So, the final answer is 63000/7903, which is an improper fraction that cannot be further simplified.