Question

Решите уравнения: 1) 1 1/3х=0,3 2) 1 1/4х=5,5 3) (2,3-m):3/5= 0,12

Answer 1

Ответ:

Пошаговое объяснение:

1)1 1/3х=0,3

4/3х=3/10

х=3/10÷4/3

х=3/10×3/4

х=9/40

2)1 1/4х=5,5

5/4х=55/10

х=55/10÷5/4

х=55/10×4/5

х=22/5

х=4 2/5 или 4,4

3)(2,3-m)÷3/5=0,12

2,3-m=12/100×3/5

23/10-m=36/500

-m=36/500-23/10

-m=36/500-1150/500

-m= -1114/500

m=1114/500

m=557/250

m=2,228 или 2 57/250

Answer 2

1. 1 1/3x = 0.3

To solve this equation, we'll start by converting the mixed number 1 1/3 into an improper fraction. The improper fraction equivalent of 1 1/3 is (4/3).

So the equation becomes: (4/3)x = 0.3

To isolate x, we'll multiply both sides of the equation by the reciprocal of (4/3), which is (3/4).

(3/4) * (4/3)x = (3/4) * 0.3

The (4/3) and (3/4) cancel out on the left side, leaving us with:

x = (3/4) * 0.3

Now, we can multiply the fractions and simplify:

x = (3/4) * (3/10) x = 9/40

Therefore, the solution to the equation is x = 9/40.

2. 1 1/4x = 5.5

First, we convert the mixed number 1 1/4 into an improper fraction. The improper fraction equivalent of 1 1/4 is (5/4).

The equation becomes: (5/4)x = 5.5

To solve for x, we'll divide both sides of the equation by (5/4):

x = 5.5 / (5/4)

To divide fractions, we multiply by the reciprocal of the divisor:

x = 5.5 * (4/5) x = 22/5

Therefore, the solution to the equation is x = 22/5.

3. (2.3 - m) / 3/5 = 0.12

To solve this equation, we'll start by simplifying the left side of the equation:

(2.3 - m) / 3/5 = 0.12

We can multiply both sides of the equation by the reciprocal of (3/5), which is (5/3):

(5/3) * (2.3 - m) / (3/5) = (5/3) * 0.12

The (3/5) and (5/3) cancel out on the left side:

2.3 - m = (5/3) * 0.12

Simplifying further:

2.3 - m = 0.2

To solve for m, we'll subtract 2.3 from both sides of the equation:

2.3 - m - 2.3 = 0.2 - 2.3

-m = -2.1

Now, multiplying both sides by -1 to solve for m:

m = 2.1

Therefore, the solution to the equation is m = 2.1.