Question

4 2/5 : x = 8 4/5 : 2 1/2

Answer 1

4,4 \ х = 8,8 \ 2,5

х = 4,4 * 2,5 \ 8,8

х= 1,25

Answer 2

To solve the proportion:

(4 2/5) : x = (8 4/5) : (2 1/2)

We need to convert the mixed numbers to improper fractions before proceeding.

Step 1: Convert mixed numbers to improper fractions. 4 2/5 can be written as (5 * 4 + 2) / 5 = 22/5 8 4/5 can be written as (5 * 8 + 4) / 5 = 44/5 2 1/2 can be written as (2 * 2 + 1) / 2 = 5/2

Now our proportion becomes:

(22/5) : x = (44/5) : (5/2)

Step 2: Cross-multiply the fractions. (22/5) * (5/2) = x * (44/5)

Step 3: Solve for x. (22/5) * (5/2) = 44/5 * x

Step 4: Cancel out common factors. After canceling out common factors, we get:

11 = 44/5 * x

Step 5: Solve for x. To solve for x, divide both sides by 44/5:

x = 11 / (44/5)

Step 6: Simplify. Dividing by a fraction is the same as multiplying by its reciprocal:

x = 11 * (5/44)

Step 7: Calculate x. x = 55/44

Step 8: Simplify (if needed). To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD if possible.

The GCD of 55 and 44 is 11, so we can simplify by dividing both by 11:

x = 5/4

So the value of x that satisfies the proportion is 5/4.