Question

5 4/7×2 9/13-1 2/3:(4 2/9 -2 5/6)

Answer 1

Ответ:

13 4/5

Пошаговое объяснение:

(5*7+4)/7*(2*13+9)/13-(1*3+2)/3:((4*9+2)/9-(2*6+5)/6=

=39/7*35/13-5/3:(38/9-17/6)=3*5-5/3:(38*4-17*6)/36=

=15-5/3:50/36=15-5/3*36/50=15-12/10=15-6/5=(15*5-6)/5=69/5=13 4/5

Answer 2

To solve this expression, we follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right).

Step 1: Perform operations inside the parentheses. 4 2/9 - 2 5/6

To subtract fractions, we need a common denominator. The common denominator for 9 and 6 is 18.

Convert 4 2/9 to an improper fraction: 4 * 9 = 36 36 + 2 = 38 38/9

Convert 2 5/6 to an improper fraction: 2 * 6 = 12 12 + 5 = 17 17/6

Now, subtract the fractions: 38/9 - 17/6

To make the denominators the same, find the least common multiple (LCM) of 9 and 6, which is 18.

(38/9) * (2/2) = 76/18 (17/6) * (3/3) = 51/18

Now, the subtraction becomes: 76/18 - 51/18 = 25/18

Step 2: Perform division. 1 2/3 ÷ 25/18

Convert 1 2/3 to an improper fraction: 1 * 3 = 3 3 + 2 = 5 5/3

Now, divide: (5/3) ÷ (25/18) = (5/3) * (18/25)

Step 3: Perform multiplication. (5/3) * (18/25) = 90/75

Step 4: Simplify the fraction, if possible. To simplify the fraction, find the greatest common divisor (GCD) of 90 and 75, which is 15.

(90/15) ÷ (75/15) = 6/5

So, the final result of the expression is 6/5 or 1 1/5.