Question

7 1/2 : 4 1/2= х :3/25

Answer 1

Х=7 1/2×3/25÷4 1/2
х= 15/2×3/25×2/9
х=1/5

Answer 2

To solve the proportion, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Cross-multiply the fractions. Step 3: Solve for the unknown variable.

Given proportion: 7 1/2 : 4 1/2 = х : 3/25

Step 1: Convert mixed numbers to improper fractions. 7 1/2 can be written as (2 * 7 + 1) / 2 = 15/2 4 1/2 can be written as (2 * 4 + 1) / 2 = 9/2

The proportion becomes: 15/2 : 9/2 = х : 3/25

Step 2: Cross-multiply the fractions. (15/2) * (3/25) = 9/2 * х

Step 3: Solve for the unknown variable. Now, solve for х: (15/2) * (3/25) = (9/2) * х

To simplify the equation, first multiply the fractions on the left side: (15 * 3) / (2 * 25) = (9/2) * х

45/50 = (9/2) * х

Now, to isolate х, divide both sides by 9/2: (45/50) ÷ (9/2) = х

To divide by a fraction, you can multiply by its reciprocal: (45/50) * (2/9) = х

Calculate the result: х = (45 * 2) / (50 * 9) х = 90 / 450 х = 1/5

So, the value of х is 1/5.