Question

А) 6 2/13- x=3 7/13;б) y-5 8/9=3 5/9; в) (x+2 4/19)-4 7/19=1 6/19​

Answer 1

Ответ:

Пошаговое объяснение:

а)

6 2/13- x=3 7/13;

x = 6 2/13 - 3 7/13

x = 2 8/13

б)

y-5 8/9=3 5/9;

y = 3 5/9 + 5 8/9

y = 8 13/9

y = 9 4/9

в)

(x+2 4/19)-4 7/19=1 6/19​

x + 2 4/19 = 1 6/19 + 4 7/19

x + 2 4/19 = 5 13/19

x = 5 13/19 - 2 4/19

x = 3 9/19

Answer 2

Let's solve the equations step by step:

А) 6 2/13 - x = 3 7/13

To solve for x, we need to isolate x on one side of the equation. Let's do that:

1. Subtract 6 from both sides: 6 2/13 - 6 = x + 3 7/13 - 6

Simplify the left side: 2/13 = x - 2 7/13

2. Add 2 7/13 to both sides to isolate x: 2/13 + 2 7/13 = x - 2 7/13 + 2 7/13

Simplify the left side: 2/13 + 2 7/13 = x

3. Convert the mixed fraction on the left side to an improper fraction: 2/13 + 2 7/13 = 2/13 + (2 * 13 + 7)/13 = 2/13 + 33/13 = 35/13

So the value of x is: x = 35/13

Б) y - 5 8/9 = 3 5/9

To solve for y, we need to isolate y on one side of the equation. Let's do that:

1. Add 5 8/9 to both sides: y - 5 8/9 + 5 8/9 = 3 5/9 + 5 8/9

Simplify the left side: y = 3 5/9 + 5 8/9

2. Add the fractions on the right side: y = (3 * 9 + 5)/(9) + (5 * 9 + 8)/(9) = 32/9

So the value of y is: y = 32/9

В) (x + 2 4/19) - 4 7/19 = 1 6/19

To solve for x, we need to isolate x on one side of the equation. Let's do that:

1. Add 4 7/19 to both sides: (x + 2 4/19) - 4 7/19 + 4 7/19 = 1 6/19 + 4 7/19

Simplify the left side: x + 2 4/19 = 5 11/19

2. Subtract 2 4/19 from both sides to isolate x: x + 2 4/19 - 2 4/19 = 5 11/19 - 2 4/19

Simplify the left side: x = 3 7/19

So the value of x is: x = 3 7/19