Question

4,4÷(x+0,25)=8 4/5÷2 1/2

Answer 1

Ответ:

Пошаговое объяснение:

4,4÷(x+0,25)=8 4/5÷2 1/2

4,4: (х+0,25)= 8,8:2,5

4,4:(х+0,25)=3,52

х+0,25= 1,25

х= 1

Answer 2

Let's solve both equations step by step:

1. 4.4 / (x + 0.25) = 8 4/5

First, let's convert the mixed number 8 4/5 into an improper fraction. To do this, multiply the whole number (8) by the denominator (5) and add the numerator (4):

8 * 5 + 4 = 40 + 4 = 44

So, 8 4/5 as an improper fraction is 44/5.

Now, we can rewrite the equation as:

4.4 / (x + 0.25) = 44/5

Next, cross-multiply to get rid of the fraction:

4.4 * 5 = 44 * (x + 0.25)

22 = 44x + 11

Now, isolate the variable x by subtracting 11 from both sides:

22 - 11 = 44x

11 = 44x

Now, divide both sides by 44 to solve for x:

11/44 = x

Simplify the fraction:

1/4 = x

So, x = 1/4.

2. 4/4 ÷ (2 1/2)

First, convert the mixed number 2 1/2 into an improper fraction:

2 * 2 + 1 = 4 + 1 = 5

So, 2 1/2 as an improper fraction is 5/2.

Now, we can rewrite the equation as:

(4/4) ÷ (5/2)

To divide fractions, multiply by the reciprocal of the second fraction:

(4/4) * (2/5)

Now, simplify the fractions:

(1/1) * (2/5)

Multiply the numerators and denominators:

(1 * 2) / (1 * 5) = 2/5

So, 4/4 ÷ 2 1/2 = 2/5.