Question

7:(5/8+5/6)+(3 1/9 -1/3).(3/10)2

Answer 1

Ответ:

4

$\frac{49}{5}$

Answer 2

Let's break down the expression step by step:

1. Start by calculating the fractions:

   • 5/8 + 5/6 = (15/24) + (20/24) = 35/24
   • 3 1/9 - 1/3 = (28/9) - (3/9) = 25/9

2. Now, multiply the results of the fractions and the mixed number:

   • (35/24) * (25/9) = (35 * 25) / (24 * 9)

3. Multiply the numbers in the numerator and denominator:

   • (35 * 25) = 875
   • (24 * 9) = 216

4. Finally, simplify the fraction:

   • (875/216)

So, the expression 7:(5/8+5/6)+(3 1/9 -1/3).(3/10)^2 simplifies to 7 * (875/216) * (3/10)^2.

Now, let's calculate (3/10)^2:

• (3/10)^2 = (3/10) * (3/10) = 9/100

Now, substitute this value back into the expression:

7 * (875/216) * (9/100)

To calculate this expression:

1. Multiply 7 by 875:

   • 7 * 875 = 6125

2. Divide the result by 216:

   • 6125 / 216 ≈ 28.356

3. Multiply the result by 9/100 (or simply divide by 100 and multiply by 9):

   • 28.356 * (9/100) ≈ 2.55204

So, the final result is approximately 2.55204.