Question

3 1/9 : 4 2/3 = ( 30 : 27 – 1/3 ) х 2 1/7 + 2/5 =

Answer 1

Ответ:

1)31/126

2)2 целых 11/15

Answer 2

Let's break down the expression step by step:

Step 1: Simplify the division on the left side of the equation.

3 1/9 ÷ 4 2/3 To divide fractions, we need to convert the mixed numbers into improper fractions. 3 1/9 = (3 * 9 + 1) / 9 = 28/9 4 2/3 = (4 * 3 + 2) / 3 = 14/3

Now, we can perform the division: (28/9) ÷ (14/3) = (28/9) * (3/14) = (28/9) * (1/2) = 28/18 = 14/9

Step 2: Simplify the expression inside the parentheses on the right side of the equation.

30 : 27 - 1/3 30 : 27 = 30/27 = 10/9 Now, we need to subtract 1/3 from 10/9: 10/9 - 1/3 = (10/9) - (3/9) = 7/9

Step 3: Perform the multiplication and addition on the right side of the equation.

(7/9) * (2 1/7) + 2/5 To multiply a fraction by a mixed number, we need to convert the mixed number into an improper fraction. 2 1/7 = (2 * 7 + 1) / 7 = 15/7

Now, perform the multiplication: (7/9) * (15/7) = (7 * 15) / (9 * 7) = 105/63 To simplify the fraction 105/63, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 21: 105/63 = (105/21) / (63/21) = 5/3

Finally, add 2/5 to the result: 5/3 + 2/5 = (5 * 5 + 2 * 3) / (3 * 5) = (25 + 6) / 15 = 31/15

So, the final result of the equation is:

14/9 = 31/15