Question

3) (83,2-80 1/6)×3/13 ​

Answer 1

(83,2-80 1/6)×3/13 ​= 0,7

1) 83,2- 80 1/6 = 83 2/10 - 80 1/6 = 83 6/30 - 80 5/30=3 1/30

2) 3 1/30 * 3/13 = 91/30 * 3/13 = 7/10 = 0,7

Answer 2

To solve the expression (83 2/6 - 80 1/6) × 3/13, we first need to convert the mixed numbers to improper fractions and then perform the calculation. Here's the step-by-step solution:

Step 1: Convert the mixed numbers to improper fractions. 83 2/6 = 83 + 2/6 = 83 + 1/3 (since 6 can be divided by 2) = 249/3 + 1/3 = 250/3

80 1/6 = 80 + 1/6 = 480/6 + 1/6 = 481/6

Step 2: Subtract the fractions inside the parentheses. (83 2/6 - 80 1/6) = (250/3 - 481/6)

Step 3: Find a common denominator for the fractions inside the parentheses, which is 6. (250/3 - 481/6) = (500/6 - 481/6)

Step 4: Perform the subtraction. (500/6 - 481/6) = 19/6

Step 5: Now multiply the result by 3/13. (19/6) × 3/13 = (19/6) × (3/13)

Step 6: Multiply the numerators and denominators. (19/6) × (3/13) = (19 × 3) / (6 × 13) = 57 / 78

So, the final result of the expression is 57/78. However, we can simplify this fraction further by finding the greatest common divisor (GCD) of 57 and 78, which is 3.

Dividing both the numerator and the denominator by 3: (57 ÷ 3) / (78 ÷ 3) = 19 / 26

The simplified answer is 19/26.